Find the missing value so that the two points have a slope of -3/10 (x,-8) and (-5,-5)

5

Step-by-step explanation:

The slope is given by

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

-3/10 = (-5--8)/(-5-x)

-3/10 = (-5+8)/(-5-x)

Using cross multiplication

-3 (-5-x) = 10*(-5+8)

Simplify

-3(-5-x) =10(3)

Divide by -3

-3/-3(-5-x) =10(3)/-3

-5-x = -10

Add 5 to each side

-5-x+5 = -10+5

-x=-5

Divide by -1

x=5

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