Slopes Worksheet: Draw and Read Slopes

Axis scales change from graph to graph in a slope worksheet where students read the slope of each graphed line, then draw their own lines for slopes such as 2/3, 1/5 and 10.
Grades
Grades 6–8
File type
PDF
Preparation
Print ready

Updated Feb 06, 2023

Topic
Slope, Graph
Resource types
Worksheets
Preparation
Print ready

From the author

About this resource

Practice drawing slopes and finding slopes from an existing graph! This worksheet is primarily targeted to Grade 7 math students, but it is suitable for anyone who needs practice with the concept of slope, like advanced Grade 6 students or Grade 8 students that need strengthening of this concept. This can be also used as extra material with physics studies, if needed.  

The special thing with this worksheet is that the graphs are scaled differently, so students really need to focus on what they are doing. The scales of horizontal x-axis are from 0 to 10, but the scales of the vertical y-axis vary from 0…2 to 0…140. Many of the scales are between 0…10 to 0…60. 

First 5 pages are about finding the slopes from existing graphs and the next five are about graphing the slopes. In this worksheet, we always assume that the y-intercept is 0, to keep things simple and to focus on slopes on coordinate planes. 

Some of the slopes are whole numbers, some are fractions and some are mixed numbers. The scaling and the slopes are designed so that students should be able to find a right rational number without confusion. The coordinate planes have grids to make things easier. 

This pdf is at its best as a paper copy, but you can use the five first pages without printing them.

All answers are included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Determine the slope of a graphed line by reading the axis scales

  • Draw a line on a coordinate grid that matches a given slope

Teaching tips

  • Because each graph uses a different vertical scale, checking the first few answers can catch students who count grid squares instead of reading the axis.

Skills covered

  • Reading graph scales — converting grid distances into axis values before finding slope

  • Graphing a given slope — drawing lines for whole-number and fractional slopes

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Resource details

Concepts & topics

Core concepts

  • Slope

  • Axis scale

  • Coordinate plane

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