Question

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

Answer 1

Answer:

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

$y = -\frac{1}{2}x -2 -2 = \frac{1}{2}x -4$ Correct

Step-by-step explanation:

For this case we have a point given $P=(-4,-2)$ and the slope for a line $m = -\frac{1}{2}$

The general linear model is given by:

$y= mx + b$

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

$-2 = -\frac{1}{2} (-4) +b$

And if we solve for b we got:

$b = -2-2 = -4$

So then our linear model is given by:

$y = -\frac{1}{2}x -4$

We analyze one by one the options:

A. y + 2 = -1/2(x – 4)

$y = -\frac{1}{2} x +2 -2= \frac{1}{2}x$ Incorrect

B. y + 2 = (-1/2 ) x – 4

$y = -\frac{1}{2}x -6$ Incorrect

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

$y = -\frac{1}{2}x -2 -2 = \frac{1}{2}x -4$ Correct

D. y – 2 = -1/2(x – 4)

$y = -\frac{1}{2}x +2+2 = -\frac{1}{2}x +4$ Incorrect

Answer 2

I hope this helps you