Write the standard form of the equation of the line described

Hello!

First you have to find what y is at when x is -3 in the first equation

y = 5/3(-3) + 2

y = -3

A point of the original line is (-3, -3)

The line we want has to go up 2

To do this we add 2 to the y-intercept part of the equation

y = ? + 2 + 2

Since the line is parallel it has the same slope

y = 5/3x + 2 + 2

Simplify

The answer is y = 5/3 x + 4

Hope this helps!