Question

what is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x 10 and passes through the point (15, –5)?

Answer 1

Perpendiculare means the slopes multiply to -1

y=3/5x+10
slope is 3/5
3/5 times what is -1
-5/3 is answer

slope of perpenduclar is-5/3 find y int
y=-5/3+b
point given is (15,-5)
x=15
y=-5

-5=-5/3(15)+b
-5=-25+b
add 25 to both sides
20=b

the yintercept is y=20 or the oint (0,20)