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:

is the slope of the line, and is the -intercept of the line. (The -intercept of a line in a cartesian plane is the -coordinate of the point where the line intersects the -axis.)

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:

The "rise" is the -coordinate of the first point minus that of the second: .The "run" is the -coordinate of the first point minus that of the second. The order of these two points should stay the same: .

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:

, and.

The equation becomes:

.

Solve for the value of :

.

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

.

143 75 107 13 the answer

The density of the cube is 40