Question

4. Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.

(-2,3) ; y = 1/2x - 1

O y= 1/2x + 1
O y= -2x - 1
O y= 1/2x - 1
O y= -1/2x - 1

Answer 1

Explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.