Question

Write the equation in slope-intercept form, identify the slope and the y-intercept.

(Slope-intercept form: y = mx + b)

-2x + 3y = -6

Answer 1

y =
`(2)/(3)` x - 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 2x + 3y = - 6 ( add 2x to both sides )

3y = 2x - 6 ( divide all terms by 3 )

y =
`(2)/(3)` x - 2 ← in slope- intercept form

with slope m =
`(2)/(3)` and y- intercept c = - 2

Answer 2

Slope is 2; y-intercept is (0,-6)

Explanation:

Slope intercept form looks like 3y = 2x - 6

In the equation y=mx+b, M is always the slope, and B is always the y-intercept. Therefore if you look back at the problem the slope number should be in front of the x which makes it 2. Since the y-intercept is always b, y = -6.

Slope or m = 2; y-intercept is (0,-6)