The slope-intercept form of a linear equation of a non-vertical line is given by:

Slope-Intercept Form of a Linear Equation

y mx b

is the slope of th e e linm

is the y-intercept of the e0, linb

Example 1

6 8y x

y mx b

Determine the slope and the y-intercept given

Compare the equation to the slope-intercept form

The coefficient of x is the slope, so 6m

The y-intercept is indicated by the constant, so

8b 0, 8

Example 2

27

3y x

y mx b

Determine the slope and the y-intercept given

Compare the equation to the slope-intercept form

The coefficient of x is the slope, so 2

3m

The y-intercept is indicated by the constant, so

7b 0,7

Example 3

11y x

11 0y x

Determine the slope and the y-intercept given

Rewrite the equation

Slope: 11m

y-intercept 0,0

Example 4

5 2 6x y

y mx b

Determine the slope and the y-intercept given

Write the equation in slope intercept form

2 65y x

2 2

5 6xy

Slope: 5

2m

y-intercept 0,3

5 6

2 2

xy

53

2y x

Example 5

6 3 12x y

y mx b

Determine the slope and the y-intercept given

Write the equation in slope intercept form

63 12xy

3

1

3

6 2xy

Slope: 2m

y-intercept 0, 4

2 4y x

3

1

3

6 2xy