What is the slope of the line that passes through (-3,-7) and (1,9)

To find slope, use the formula:

(y2-y1)/x2-x1)

So here is what it will look like:

(9--7)/(1--3)

Since you are subtracting a negative, then it turns unto a positive so you are adding the numbers together.  

(9+7)/1+3)

16/4

4

The slope of the line is 4/1 or 4.  Which means that you will go up or "rise" 4 and go to the left or "run" 1.

Hope this helps!

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

i hope this is what you were looking for.

see attached graph