Question

write the equation of the line that passes through the point (-4,-2) and is parallel to the line y= 1/4x + 3

Answer 1

First find the gradient of the perpendicular line. You do this by taking the negative reciprocal of the gradient of the first line (y= 1/4x +3):

Perpendicular gradient = negative reciprocal of
`(1)/(4)` = -4

Next, you substitute the x and y values into the following equation and solve:

y = -4x +c

-2 = -4(-4) +c

-2 = 16 + c

-18 = c

Substitute c back into the equation above to get the final answer:

y = -4x -18

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Answer

y = -4x - 18