What is the slope of the line do the point for me to?

Step-by-step explanation:

we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x

more visually:

(y1-y2)/(x1-x2)

so for the point (-1,2) let’s say

-1 = x1

and

2 = y1

and for the point (4,-2) let’s say

4 = x2

and

-2 = y2

to find slope we plug in the values to our slope equation and we get this:

(2-(-2))/( -1-4)

(2+2)/-5

4/-5

so slope is -4/5

because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the answer is d

step-by-step explanation: