Question

what is an equation of the line that is perpendicular to y=-4/5x+3 and passes through rhe point (4, 13)?

Answer 1

y = 5/4 x + 8

Explanation:

y= - 4/5x + 3

Slope = -4/5

Perpendicular slope = 5/4

Point (4, 13)

13 = 5/4 (4) + b

13 = 5 + b

b = 8

y = 5/4 x + 8

Answer 2

If a line is perpendicular to another line, it has an opposite reciprocal slope. The opposite reciprocal of -4/5 is 5/4.

Based on the picture I drew, the y intercept is (0,3), so the equation should be y = 5/4 + 3.