Question

The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:

Answer 1

Explanation:

`2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - (2)/(3) x + 4`

slope is -2/3

y intercept is 4

Answer 2

The slope is -2/3 and the y intercept is 4

Explanation:

2x + 3y = 12

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

2x + 3y = 12

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2x/3 +12/3

y = -2/3 x +4

The slope is -2/3 and the y intercept is 4