Respuesta :

lizjurkovich

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

jg8265808

Answer:

C

Step-by-step explanation:

Point slope form looks like this: [tex]y-y_1=m(x-x_1)[/tex]

We already have our slope (-1/4)

Our [tex]y_1[/tex] is -7 and our [tex]x_1[/tex] is 4

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

Therefore, the answer is C

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