Write an equation of the line that passes through the given points (-4,8) and (2,2)

y=-x+4

Step-by-step explanation:

Slope= Difference in y over difference in x position:

(2-8)/(2--4) --> -6/6 --> -1

The slope is -1

We can put what we have so far in slope intercept form: y=-1x+b

The y-intercept (also known as b) in this equation is 4

In slope-intercept form this line would be written as y=-1x+4,

or simply just y=-x+4

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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)