Question

Write an equation of the line that is perpendicular to y = −4x + 8 and passes through the point (5, 1)

Answer 1

Hello,

To start, we have to identify the slope of the perpendicular line. Perpendicular lines have opposite reciprocal slopes. Therefore, the slope of our new line will be 1/4.

Now, just substitute in the given point with our new slope and we can solve for B.

y = (1/4)x + b
1 = (1/4)5 + b
1 = 5/4 + b
-1/4 = b

Now that we have the slope and the y-intercept, we can put together our equation.

It is: y = (1/4)x - 1/4

Good luck,
MrEQ