Answer:
y = 5/3x
Explanation:
product of gradient of two perpendicular lines is -1
m1 × M2 = -1
given that y = -3/5x - 1 is a slope -intercept equation, then gradient is -3/5
(-3/5)m2 = -1. to get M2 we divide by -3/5 both sides
M2 = 5/3
using the formula slope= ∆y/∆x we can write the equation of line 2. we need slope, one of the known points and one unknown point (X,y)
5/3 = (y- -5)/(X - -3)
5/3 = (y+5)/(x+3)
we cross multiply
3y +15 = 5x +15
3y = 5x +15 - 15
3y = 5x
y = 5/3x