5-3 Slope-Intercept Form Worksheet
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1
2Name
Class
Date
5-3
Slope-Intercept Form
The slope-intercept form of a linear equation is y = mx + b. In this equation, m is
the slope and b is the y-intercept.
Problem
What are the slope and y-intercept of the graph of y = 2x 3?
The equation is solved for y, but it is easier to determine the y-intercept if the right
side is written as a sum instead of a difference.
y = 2x 3
y = 2x + (3)
Write the subtraction as addition.
The slope is 2 and the y-intercept is 3.
Problem
2
What is an equation for the line with slope
and y-intercept 9?
3
When the slope and y-intercept are given, substitute the values into the slope-
intercept form of a linear equation.
y = mx + b
2
2
y=
x + 9
Substitute
for m and 9 for b.
3
3
Problem
What is an equation in slope-intercept form for the line that passes through the
points (1, 3) and (3, 1)?
Substitute the two given points into the slope formula to find the slope of the line.
1 ( 3)
4
m
2
3 1
2
Then substitute the slope and the coordinates of one of the points into the
slope-intercept form to find b.
y = mx + b
Use slope-intercept form.
Substitute 2 for m, 1 for x, and 3 for y.
3 = 2(1) + b
5 = b
Solve for b.
Substitute the slope and y-intercept into the slope-intercept form.
y = mx + b
Use slope-intercept form.
Substitute 2 for m and 5 for b.
y = 2x + (5)
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