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D. slope 3 y-intercept 4.

Step-by-step explanation:

The graph crosses the y-coordinate at positive 4. So we know that the y-intercept is 4, which means it cannot be A. slope 1/3. y-intercept -4, or C. slope 3 y-intercept -4.

The slope is 3, you can tell because the line ascends 3 y values for every x value gained.

This means that the answer is D. slope 3 y-intercept 4.

I Hope That This Helps! :)

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)