Question

HELP ASAP!! Question in pic!! Will give brainliest!!!!!

Answer 1

Answer:

y= -1/4x - 6

Step-by-step explanation:

So the point slop form is y = mx + b, where m is the slope : -1/4, and b is the y-intercept (which we don't know yet).

To find b, all you need to do is plug in -1/4 for m and the point (4, -7) for x and y respectively, giving you:

-7 = (-1/4)(4) + b

Then do some algebra shenanigans: multiply -1/4 by 4 to get -1

-7 = -1 + b

then add the 1 to both sides.

b = -6

Then, you can plug the b and the m back into the problem to give you:

y = -1/4x - 6

Answer 2

Answer:

C

Step-by-step explanation:

Point slope form looks like this: $y-y_1=m(x-x_1)$

We already have our slope (-1/4)

Our $y_1$ is -7 and our $x_1$ is 4

In this case, our equation would be $y-(-7)=-1/4(x-4)$ and the -(-7) would turn into +7

Therefore, the answer is C