What is the equation for the line perpendicular to y= 2/3x+5 and that goes through (4,-1)

Answer 1

perpendicular lines have opposite sign and inverse slopes.

So, new slope will be -2/3

Y = mx + b

y = (-2/3)x + b

Substitute:

-1 = (-2/3)(4) + b

-1 = -8/3 + b

-1 + 8/3 = b

b = 5/3

y = (-2/3)x + 5/3