Function that goes through (-5,14)(1,-16)

y = -5x - 11

Step-by-step explanation:

First we are going to find the slope of the function using the formula attached below as an image:

(-5, 14)

(1, -16)

x_1 = -5

x_2 = 1

y_1 = 14

y_2 = -16

Now plug in the values and start simplifying:

(-16 - 14)/(1 - (-5))

(-30)/(6)

-5

The slope is -5.

Now we're going to use the point-slope formula to find the final function:

(point-slope formula has been attached as an image as well)

I'm going to use the point (-5, 14) for this formula:

y - 14 = -5(x + 5)

y - 14 = -5x - 25

y = -5x - 11

That's your answer! Hope this helps (●'◡'●)