Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.
P(2)4,-8.7),m = -4

A)x = 2.4y + 0.9
B)x = 2.4
C)y = 2.4
D)y = -4x + 0.9
E)y = 2.4x + 0.9

Question

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​
P(2)4,-8.7),m = -4
​
A)x = 2.4y + 0.9 
B)x = 2.4 
C)y = 2.4 ​ 
D)y = -4x + 0.9 ​ 
E)y = 2.4x + 0.9

Quizplus · Accepted Answer

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the line passes through the point P(2,-8.7) and has a slope of -4.

Plugging in the values we have: 
y = -4x + b

To find b, we can use the coordinates of point P: 
-8.7 = -4(2) + b 
-8.7 = -8 + b 
b = -0.7

Plugging in b, we get: 
y = -4x - 0.7

This matches with choice D, so the best choice is D.

Find the Slope-Intercept Form of the Equation of the Line