Question

Find the equation of the line that contains the point p(4,0) and is perpendicular to the graph of 3x-2y+5

please need now! show work

Answer 1

y = -2/3x + 8/3

Explanation:

3x - 2y + 5? I am assuming you mean 3x - 2y = 5, so this answer is based on this equation.

3x - 2y = 5

-2y = -3x + 5

2y = 3x - 5

y = 3/2x - 5/2

3/2 = -2/3 (This is the perpendicular slope)

(4,0)

y - y1 = m(x - x1)

y - 0 = -2/3(x - 4)

y = -2/3x + 8/3

So the equation would be y = -2/3x + 8/3.

You can check the equations by graphing them: