Question

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

(-2, 3); y=-3/4x+4

Answer 1

y=4/3x+17/3

Explanation:

Perpendicular lines have reciprocal negative slopes, find the slope of the new line:

-3/4 --> m = 4/3

Write line in point slope form:

y-3 = 4/3(x+2)

Distribute:

y-3=4/3x+8/3

Simplify:

y=4/3x+17/3