Question

Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = -5x + 4

Answer 1

y = -1/5 + 7

Explanation:

Substitute the point (1,2) for the x and the y in the equation, set the 4 to b since we are solving for b.

2 = -5(1) + b now solve for b

2 = -5 + b

+5 +5

7 = b

we know that the slope must be the reciprocal for it to be perpendicular

y = -1/5 + 7 add b (7) to the equation and change the reciprocal