Chaim S. answered • 08/20/21

Mechanical Engineering Student at the University of South Florida

Rearrange 5x+3y=6 in slope intercept form

y=mx=b

5x+3y=6

3y=6-5x

y=2-(5x)/3

then slope for a line parallel is -5/3

Use point slope form y-y1=m(x-x1)

plug un values of (x,y) = (6,-2)

and m=-5/3

y-y1=m(x-x1)

y-(-2)=(-5/3)(x-6)

y+2=(-5/3)x+10

y=(-5/3)x+10-2

y=(-5/3)x+8 <-- solution