Question

y = (2/3)x - 4
Write an equation for the line passing through (5, 1) that is parallel to y = (2/3)x - 4.

Answer 1

y = (2/3)x+b

1 = (2/3)(5) + b

1= 10/3 + b

1-10/3= b

-7/3 = b

b = -7/3

So the equation is \[\large y=\frac{2}{3}x-\frac{7}{3}\]