Download Slope-Intercept Form

NAME ______________________________________________ DATE
8-6 Slope-Intercept Form
____________ PERIOD _____
(Pages 398–401)
When a linear equation is written in the form y mx b, it is in
slope-intercept form.
y mx b
↑
↑
slope
y-intercept
Slope-Intercept
Form
Example
2
State the slope and the y-intercept of the graph of y x 3.
3
2
y x 3
3
2
3
y x (3)
↑
↑
y mx b
Write the original equation.
Write the equation in the form y mx b.
2
3
m , b 3
The slope of the graph is 2 , and the y-intercept is 3.
3
Example
Write the equation 2x 3y 5 in slope-intercept form.
Slope-Intercept Form: 2x 3y 5
3y 2x 5
y 2 x 5
3
3
Subtract 2x from each side.
Divide each side by 3.
Note that in this form we can see that the slope m of the line is 2 , and the y-intercept b is 5.
3
3
Practice
State the slope and the y-intercept for the graph of each equation.
1. y 2x 4
2. 4x y 0
3. 5x 2y 7
Write an equation in slope-intercept form of a line with the given
slope and y-intercept.
4. m 5, b 5
5. m 2, b 7
6. m 3, b 0
Find the slope and y-intercept of the graph of each equation.
2
9. 4(x 5y) 9(x 1)
10. Standardized Test Practice What is the slope-intercept form of an
equation for the line that passes through (0, 1) and (3, 37)?
A y 12x 1
B y 12x 1
C y 12x 1
D y 12x 1
4
8. 8x 1 y 2
7. 7y x 10
20
1
9
9. m , b 10. B
7
2
7
7
10
4. y 5x 5 5. y 2x 7 6. y 3x 7. m 1, b 66
5
2
8. m 16, b 4
Glencoe/McGraw-Hill
Answers: 1. 2, 4 2. 4, 0 3. , ©
Glencoe Pre-Algebra