Find the slope of a line passing through points (-1, 5) and (3, -4)

Slope = (-9,4)

Step-by-step explanation:

When given two points and asked to find the slope, you can find the answer using slope formula which is:

slope = (y2 - y1) / (x2-x1)

You have been given the points (-1,5) and (3,-4). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (-1,5) are x1 and y1 and (3,-4) are x2 and y2. Now we can plug it into the formula.

Slope = (-4-5) / (3-(-1))

= -9/3-(-1)

= -9/4

= -9,4

So the answer is (-9,4).

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17