Question

Write an equation for a perpendicular line to the equation y = -1/2x + 7 and that goes through the point (2, 5).

Answer 1

Answer:

y = 2x + 1

Step-by-step explanation:

A line y = ax + b that is perpendicular to the other line y = (-1/2)x + 7

=> The product of 2 slopes of these 2 lines must be -1

=> a x (-1/2) = -1

=> a = 2

This line passes (2, 5) => 5 = 2*2 + b => 5 = 4 + b => b = 1

=> The equation of the line: y = 2x + 1

Hope this helps!