Then, include all the different types of examples of finding slope and graphing a line with a particular slope. Determine the yintercept and plot that point on the graph. What attributes of a line are used to write an equation. Include the key concept of slope as rate of change. Find the slope of each line find the slope of each line find the slope of each line. Identify the slope as positive, negative, zero or unde. The rate of change in the following table is constant. Also be sure to include the slope formula and define it as vertical change over horizontal change as well. Allinone slope notes page is intended to be used as a reference and reminder sheet for students to refer back to throughout a unit. Use pointslope form when you are given or can find the slope and a point. Slope comes from the latin root slupan, for the word slip.
Slope graphic organizer and guided notes by jenna jackson tpt. Slope is rise over run and the slope of a horizontal line will therefore always be 0 divided by some number. To understand slope, to find positive and negative slope, to find the slope of a horizontal and vertical line, to find rate of change. Find the yintercept of the line passing through the points 1, 3.
Write an equation of the line whose slope is 3 and whose y intercept is 5. In the lecture part of this course we will discuss a variety of methods of analysis of slope stability and instability. The slope deflection method is so named as it relates the unknown slopes and deflections to the applied load on a structure. From a graph, an equation, a table, and two given points. Slope is a rate of change comparing the change in vertical to horizontal. Slope intercept form of a line given that the slope of a line is m and the yintercept is the point 0,b, then the equation of the line is. Finding the slope of a line there is a mathematical formula that allows you to find the slope of a line. Slope graphic organizer and guided notes by jenna jackson. This graphic organizer has guided notes, multiple examples, and little tricks to help students remember positive, negative, zero, and undefined slope. The second graphic organizer helps students have a reference guide for positive, negative, zero, and undefined slope. Slope doodle notes by math giraffe teachers pay teachers. This item may be used for your personal classroom use.
Finding the equation of a line given two points notes page 1 of 4 finding the equation of a line given two points most people when asked, what is the equation of a line. Grieser rate of change a rate of change compares a change in one quantity to a change in another quantity. Write an equation of the line passing through 3,2 and 1,3 in slopeintercept form. Finding the slope of a line given two points the slope of the nonvertical line passing through the points x 1, y 1 and x 2, y 2 is. Get the following equations to slopeintercept form. Use the notes with the whole class, then use the practice activity as either an individual worksheet, matching activity for math stations, or a partnersmall group activity. For this example, the readings were not within the allowable difference of 0. Write an equation of the line whose slope is 1 4 and whose y intercept is 6. The problems challenge students to use their of slope to understand real world problems and graphs. Oct 27, 2016 free slope notes this shows students how to find slope from a graph, an equation, a table, a word problem, and from two points.
This was folded in half and used in an interactive notebook. Find the slope of the line that contains 5, 3 and 1, 4. Application note slope stability analysis worked example. Find the slope intercept form for the equation of the line graphed in the figure. Finding slope notes algebra 1 name id 1 g d20w1x6x. To every point x y, in the domain of f, assign a small piece of a tangent line with a slope of, x y dy f x y dx. Slope a ratio that describes the tilt slant of a line slope or or. Give the equation of a line with a known slope and point. Find the equation of a line parallel or perpendicular to another line. The slope of a horizontal line is 0 because horizontal lines have no rise. Then draw a positive slope like walking uphill, a negative slope like walking downhill, a zero slope walking on a flat surface, and an undefined slope a vertical line. Find the slope of the line that passes through the points 4,10. This was applied in the model by selecting all the boundary lines between the mudstone and weathered mudstone unshow the water table, to facilitate. Use slope to solve reallife problems, such as how to safely adjust a ladder in example 5.
As a current student on this bumpy collegiate pathway, i stumbled upon course hero, where i can find study resources for nearly all my courses, get online help from tutors 247, and even share my old projects, papers, and lecture notes with other students. Finding slope find the slopes of the lines passing through the following points. It is unsure why americans use the letter m to represent slope. Write the point slope form for the equation of a line with slope m passing through the point x1, y1. It is essential that the engineering geologist be intimately familiar with all of these methods because they provide ways of. The link slope task cards are a great follow up activity. Once we have these points, the slope of the line will. Graph the line with the given slope that contains the given point. Figure 63 gives an example of the notes required for determining the slope stakes.
Global stability with relict slip surface in this scenario, the presence of the relict slip surface was assumed. This topic deals with the cartesian grid and linear equations with some analysis of the graph of the line and its relationship to the equation of the line. The only difference you have is you start at the given point instead of the yintercept. Slopeintercept form if you have a linear equation in function form, it is also known as slopeintercept form. X 3 0 3 6 y 11 9 7 5 finding slope from a graph class work directionsdirections. Show students a slope of zero horizontal line and an undefined slope vertical line. Linest in excel the excel spreadsheet function linest is a. The equation represents a straight line whose slope is 3 3 and whose intercept is 4 4. Slope mslope m constant rate of change slope slope slope slope no slope slope slope. The table below shows the cost of using a computer at an internet cafe for a given amount of time. Note that you cannot type in the characters yourself. Graph a line with a slope of 3 that passes through the origin.
Slope graphic organizer and guided notes this is a great graphic organizer to help students recall four different ways to find the slope of a linear function. Write the equation of the line in point slope form. Rearrange the equation so that it is in slope intercept form 2. Write the equation of the line with a slope of 2 that goes through the point 4,3 in pointslope form. Slope notes middle school math teacher, learning math. Now it is in slope intercept form so the slope m is 6 and the yintercept b is 12. Concepts can be added to the organizer as they are introduced throughout the unit.
We can compare and graph realworld data in the same way as slope. Slope run slope the four different types of slopes for directions positive slo e increasing ne ative slo e decreasing zero slo e horizontal line undefined slo e vertical line find the slope of the line that passes through the given points. Slope and yintercept rc 2 teks 84c, 85i slope and yintercept content objective i can write an equation from a graph of a linear relationship. Write the equation of the line with a slope of 2 that goes through the point 4, 3 in slope intercept form. Language objective i can describe the slope and yintercept of a line. Module 2 lecture notes 1 0 is not a linear equation people. First, i showing several graphs and ask students how they would determine the slope of the given lines. Right is positive, left is negative most common formula is. Then we can use the two methods discussed on example. Rate of change and slope rate of change shows relationship between changing quantities.
Again, printing is the only tricky part to make sure it lines up well. Slopeintercept form and pointslope form tallahassee. Background grades 15 saskatchewan curriculum geometry strand. Finding slope given a table or a graph college board. There are proven benefits of this crosslateral brain activity. For a linear function, slope may be interpreted as the rate of change of the dependent variable per unit change in the independent variable. Write an equation of the line that passes through the point 1,2 and has a slope of 3. The coefficient of x is the and the constant is the. A slope of 50 means that the speed of the bus is 50 mih. Rearrange the equation so that it is in slopeintercept form 2. I have animated lines for rise and run that appear when touched so students can see the change represented by the slope. There are two methods to finding the slope of a linear relationship from a table. What if the equation is not in slope intercept form.
Theory of slope stability portland state university. Find the slope of a line given a graph or two points. Slope graphic organizer and guided notes teaching algebra. Therefore, the slope of the line parallel to this line would have to be m 35. To model reallife quantities, such as the average rate of change in the temperature of the grand canyon in ex. A small convexshaped slope, with a thin covering of soil freeface scarp cliff a near vertical slope, more than 80 to the horizontal talus scree debris a slope with a constant angle, and is formed of eroded material from crest and freeface knickpoint the change in gradient at the base of the scree slope pediment a lowangle concave slope. The notes and practice cover four ways to find slope. On a graph, when we compare rise and run, we are talking about steepness of a line slope. This is the equation of a line in what is called slopeintercept form where m is the slope and b is the yintercept. Introduction to slope for middle years mathematics precis. One form of the equation of a straight line is called the slopeintercept form. The slope intercept form has the advantage of being simple to remember and use, however, it has one major disadvantage. Application note slope stability analysis worked example 4. Clarify which comes from a zero in the numerator versus in the denominator.
Model the data in the table with a linear equation in point slope form. Powered by create your own unique website with customizable templates. Write an equation of the line that passes through the point 2, 2 and has a slope. Begin at one of the points and count vertically until you are even with the 2nd point. Given two points, x y1 1, and x y2 2, we can find the slope of any line. Find the slope of the line that passes through the points 3, 5 and 7, 3. Slope m the ratio of the rise to the run rise the vertical change between two points run the horizontal change between two points. In order to develop general form of slope deflection equations, we will consider the typical span ab of a continuous beam which is subjected to arbitrary loading and has a constant ei. Optional write in point slope form an equations that passes through the point 4,8 and has a slope of 23. Slope is defined as the ratio of a change in y to a corresponding change in x.
Slope doodle notes when students color or doodle in math class, it activates both hemispheres of the brain at the same time. One of the most important properties of a line is its slope. Schools around the world use different letters, such as s, a, p, and k. I also had the students put a small strip of glue behind the words i can find slope from so it would have a sturdy header and flip better. As we graph lines, we will want to be able to identify di. They assess my students ability to think of slope as a ratio comparing the independent and dependent variable of a function. Mar 07, 2012 again, printing is the only tricky part to make sure it lines up well. It tells how steep a linear function is when graphed. Todays lesson intro includes revisiting several representations of slope that students have previously experienced on which we will build todays lesson. Slope fields page 2 of 12 in general, the slope field of the differential equation dy y dx is defined in the following manner. Based on your conclusion from example 4, fill in the chart below. Find the slope of the line passing through the points 0, 3 and 2, 5. Since we know the slope and a point, use point slope form. Graph a line with undefined slope that passes through 3, 1.
Finding slope given a table or a graph the slope of a line is determined by the ratio changein y changein x between any two points that lie on the line. Multiple choice 80 points, 5 points each identify the choice that best completes the statement or answers the question. Generally we do not know the yintercept, we only know one or more. Find the slope of the line that passes through the points 2,7 and 2, 6. State whether the slope of the line is positive, negative, zero or undefined. Ex 2 a find the equation of the line going through 4,1 and 5,2. Use the attached notes 34a as your guide to introduce how to. This topic was completed in five fifty minute periods. The sub 1 and sub 2 are used only to distinguish between the first point given, and the second point given. Slope is a number that measures how steep a line is.