1. write an equation in point ­slope form for the line through the given point with the given slope. (–4, –2); m = -1/2

a. y + 2 = -1/2(x – 4)
b. y + 2 = (-1/2 ) x – 4
c. y + 2 = -1/2(x + 4)
d. y – 2 = -1/2(x – 4)

C. y + 2 = -1/2(x + 4)

Correct

Step-by-step explanation:

For this case we have a point given and the slope for a line

The general linear model is given by:

For this case we have m given and we just need to find b, if we replace the info given we have this:

And if we solve for b we got:

So then our linear model is given by:

We analyze one by one the options:

A. y + 2 = -1/2(x – 4)

Incorrect

B. y + 2 = (-1/2 ) x – 4

Incorrect

C. y + 2 = -1/2(x + 4)

Correct

D. y – 2 = -1/2(x – 4)

Incorrect