Question

Given the line y =2/3x-3

Write the equation of a line perpendicular to it that passes
through the point (4, -1)

Answer 1

y= -3/2x + 5

Explanation:

You do the opposite reciprocal of the original equation's slope.

Then you use the new slope from the point (4,-1) on the graph to find the y-intercept. Which is (0,5).

That gets your answer of -3/2x + 5.