Find the slope of the line through each pair of points worksheet

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Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope.

This is a problem that gives me two points and asks me to find the slope of the line that connects them. So if I wanted to, I could draw a graph, but to be honest with you guys, I don’t really like graphing. It takes a lot of time, I don’t always have graph paper, so this is an Algebra shortcut that I like to use, and that’s using the formula for slope. You guys should have this memorized, if you don’t yet, start memorizing.

M stands for slope, and you do y2 take away y1 on top of x2 take away x1. So in order to apply this formula, the first thing I need to do is figure out what this y2, y1 business means. I’m going to go ahead and label these points as x1 meaning my first x coordinate, y1 my first y coordinate, x2 is going to be 4 and y2 is going to be that 1.

Then I’m just going to substitute each one of these numbers into that formula. So let’s see y2 is 1 take away y1, there it is, that’s the top of my fraction. The bottom is going to be x2 take away x1. Oh my gosh please be careful with the negative sign. Notice how I had a negative, negative, one minus sign came from the equation and the other minus sign came from that 3 right there, that’s why I have minus, minus.

Okay well let’s simplify that. 1 take away 2 is -1, on the bottom I have 4 minus -3 which is the same thing as 4 plus 3 which is 7, that’s it. Using Algebra I was able to find the slope of the line containing those two points without having to graph it, I like that kind of shortcut. Before we move on, I want to show you guys just a quick little sketch of a graph that might help you to check your work. Like for example let’s just say I try graphing these points, I’m just going to verify that -1/7 makes sense.

Let’s see, so my first point is (-3,2), (-3,2) somewhere a round there, my second point is 4, 1 one, two, three, four, one and I’m looking at the line that passes through those. Again this is not very pretty because I’m not using graph paper, but I’m going down 1 box and over 7 boxes. If you guys had graph paper, you would have this a lot more precisely and you could see that indeed my slope is, oh my gosh sorry this is like the ugliest picture, but I hope you guys can still get the idea. My slope is down 1, over 7, that’s the negative represents the down, and then all over 7.

So the graphing is a good way to check, it can really rough like this just to make sure I didn’t accidentally put the Xs on top or something, and I didn’t accidentally make some weird calculation error, but one more thing I want to tell you guys before we go, is please remember this formula, it’s a great shortcut for how you can find the slope without having to graph a line.

The slope (or gradient) of a line is a number that denotes the 'steepness' of the line, also commonly called 'rise over run'. Knowledge of relevant formulae is a must for students of grade 6 through high school to solve some of these pdf worksheets. This page consists of printable exercises like introduction to slopes such as identifying the type and counting the rise and run; finding the slope using ratio method, slope-intercept formula and two-point formula; drawing lines through coordinates and much more! Employ our free worksheets to sample our work. Answer keys are included.

Printing Help - Please do not print slope worksheets directly from the browser. Kindly download them and print.

Identify the Types of Slopes

Introduction to slopes: Based on the position of the line on the graph, identify the type of slope - positive, negative, zero or undefined. This exercise is recommended for 6th grade and 7th grade children.

Draw Lines on a Graph: Types of Slopes

The first part of worksheets require students to plot the points on the graph, draw the line and identify the type of slope. In the next section, draw a line through the single-point plotted on the graph to represent the type of slope mentioned.

Count the Rise and Run

Based on the two points plotted on a graph, calculate the rise and run to find the slope of the line in the first level of worksheets. Find the rise and run between any two x- and y- coordinates on the line provided in the second level of worksheets. This practice resource is ideal for 7th grade and 8th grade students.

Graph the Line

Draw a line through a point plotted on the graph based on the slope provided in this set of pdf worksheets which is suitable for 9th grade children.

Fun Activity: Slope of the Roof

This set of fun activitiy worksheets contains houses with roofs of various sizes. Find the slope of the roof of each house. Answers must be in the form of positive slopes.

Find the Slope: Ratio Method

Use the x- and y- coordinates provided to find the slope (rise and run) of a line using the ratio method. A worked out example along with the formula is displayed at the top of each worksheet for easy reference.

Find the Slope: Line segments in a Triangle

Triangles are represented on each graph in this assembly of printable 8th grade worksheets. Learners will need to identify the rise and run for each of the three line segments that are joined to form a triangle.

Two-Point Formula

Employ the two-point formula that is featured atop every worksheet along with a worked out example. Substitute each pair of x- and y- coordinates in the given formula to find the slope of a line.

Plot the Points and Find the Slope

Plot the points on the graph based on the x- and y-coordinates provided. Then, find the slope of each line, so derived. Some problems contain x- and y-intercepts as well.

Find the Missing Coordinates

In this series of high school pdf worksheets, the slope and the co-ordinates are provided. Use the slope formula to find the missing coordinate.

Slope-Intercept Form

This set of printable worksheets features linear equations. Students are required to find the slopes by writing linear equations in slope-intercept form.

How do you find the slope that passes through two pairs of points?

How do you find the slope of 4 points?