Question

Write the equation of the line that is perpendicular to the line given and through the given point. Do not use spaces in your equation. y=-x-3 (-1, 4) *

Answer 1

y=x+5

Explanation:

The equation is given in slope-intercept form, so we can read the slope from the equation. It is the x-coefficient, -1.

The slope of the perpendicular line will be the opposite reciprocal of this value:

-1/-1 = 1

The new y-intercept will be ...

b = y -mx = (4) -(1)(-1) = 5

Then the slope-intercept equation of the perpendicular line is ...

y = x +5