Question

Find an equation of the line that satisfies the given conditions.

Through (-2, 2); perpendicular to the line y = -1/2x + 2

Answer 1

y=2x+6

Explanation:

First find the gradient of the perpendicular line. We can do this by turing the given gradient into a negative reciprocal.

-1/2 -> 2 (new gradient)

substitute new gradient into y=mx+c as well as the values for x and y from the given coordinate (-2,2)

y=mx+c

2=2(-2)+c

then solve for c

2=-4+c

c=6

therefore the formula for the line is y=2x+6