Slope intercept form worksheet (with answer key)

The slope of a line denotes its steepness, while the intercept indicates where it crosses an axis. The slope and intercept of a linear connection between two variables may be used to calculate the average rate of change. The steeper the line and the faster it changes, the larger the magnitude of the slope.

You can rapidly determine the slope and y-intercept of a line by analysing its equation (where the line crosses the y-axis). In this worksheet, we will try to find different lines’ slopes and their y-intercepts.

What is the Slope of the line?

A line’s slope is defined as the change in y coordinate with respect to the change in x coordinate. The net y coordinate change is y, while the net x coordinate change is x. 

So the difference in y coordinate with the shift in x coordinate is expressed as

What is the x and y-intercept of the Slope?

The x-intercept is the point where a line crosses the X-axis, and the y-intercept is the point where a line crosses the y-axis.

The point on the x-axis is (5,0). We call this the x-intercept.

The point (0,4). We call this the y-intercept.

How will the “Answer key slope intercept form worksheet with answers” help you?

This worksheet will help you better understand the concept of a line and its slope and challenge the student’s ability to identify them.

Instructions on how to use the “Answer key slope intercept form worksheet with answers”:

Use this math worksheet you learn about equating the slope of the line and its intercepts thoroughly. 

A reflection section is included at the end of this worksheet to assist the student think about their thinking (metacognition) and analyse how they performed in the session.

Finally, it challenges the student to devise their problems and compare them with the ones he/she learned from the worksheet.


This worksheet will help you gain the essential skills to find the slope and its intercept from the given equation.

If you have any questions or comments, please let us know.

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