Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-4,8); y=1/4x -4

so, here we have  a line that is perpendicular to a the line 1/4x -4and we are asked for the perpendicular line which passes through the point (-4,8)

Step-by-step explanation:

1. calculate perpendicular line (i.e. at 90 degrees to the line)

2. m1 x m2 = -1 where slope is m. and m1 = 1/4 (from the original equation)

1/4 x m2 = -1 , therefore m2 = -1/(1/4) = -1 x (4/1) = -4

3. therefore the equation is : y= -4x - 4

boxplot e is the answer

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