< Algebra Worksheets

Slope-Intercept Form Worksheets

Welcome to our collection of “Slope-Intercept Form” worksheets! Slope-intercept form is a very useful way of writing the equation of a straight line. It quickly allows you to see where the equation crosses the y-axis (the one that goes up and down), whether the graph points up or down, and how steep it is.

Slope-intercept form is written y=mx+b where ‘m’ is the variable that tells you the slope of the line, and ‘b’ tells you the y-intercept.

In these worksheets you’ll use slope-intercept form to graph linear equations. You can click on the ‘+’ below for an explanation of how to plot your line, but here’s a tip. If you come across an equation that says x=_, just plot two points where x=the given number. Draw a line through those two points and voila. You’re done!

How to Interpret and Graph Lines using Slope-Intercept Form

Slope-intercept form is a way to write the equation of a line in a simple and useful way. The equation looks like this:

y = mx + b

In this equation:

– ‘y’ is the y-coordinate of a point on the line.

– ‘x’ is the x-coordinate of a point on the line.

– ‘m’ is the slope of the line.

– ‘b’ is the y-intercept, which is the point where the line crosses the y-axis.

Let’s break it down step by step using an example:

Imagine you have a line with a slope of 2 and a y-intercept of 3. The equation for this line in slope-intercept form would be:

y = 2x + 3

Here’s how to interpret it:

‘y’ is the output or dependent variable. It’s like the result you get when you plug in a value for ‘x’. For example, if x = 4, you would find ‘y’ by multiplying 4 by the slope ‘2’ and adding the y-intercept ‘3’. So, ‘y = 2(4) + 3 = 11’.

‘x’ is the input or independent variable. It’s the value you choose to put into the equation. In our example, ‘x’ could be any number you want.

‘m’ is the slope and tells you how steep the line is. If ‘m’ is positive, the line goes up as you move to the right. If ‘m’ is negative, the line goes down as you move to the right. In our example, the line goes up because m = 2.

‘b’ is the y-intercept and is where the line crosses the y-axis. In our example, the line crosses the y-axis at the point (0, 3). This means when x = 0, y is 3.

So, if you want to graph a line, you can start at the y-intercept (0, 3) and then use the slope to find another point. For example, if the slope is 2, you can go up 2 units and over 1 unit from the y-intercept to find another point.

We hope this helps! Keep asking questions and never stop being curious!

Graph Lines in Slope-Intercept Form (Printable PDFs)

Practice plotting lines with these simple slope-intercept form worksheets! Start by plotting your y-intercept (b) then use the slope (m) to find a second point. Once you have those points on your graph, draw a line through them, put an arrow on each end, and you’re done!