What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)? A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Choice D. .

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is , where:

Start by finding the value of . The slope of a line is equal to its rise-over-run. For the two points in this question:

Calculate the slope of this line:

.

The equation of the line becomes:

.

Substitute the coordinates of either of the two points to find . For example, for the first point , substitute in the following:

The equation becomes:

.

Solve for the value of :

.

Hence, the slope-intercept form of this line shall be:

.

x-3y=4

step-by-step e