What is the equation if the line goes through (-3,5) and have a slop of (2/3)

We'll construct the equation in the form y = mx + b. Where m is the slope and b is the y-intercept.

We already know the slope, but we need the y-intercept. We can find the y-intercept by plugging in the ordered pair we have into our equation.

y = 2/3m + b

Plug in the values.

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

Solve for b.

5 = (2/3)(-3) + b
5 = -2 + b
7 = b <-- Add 2 to each side

So, the equation would look like y = 2/3m + 7.