Write the equation for the line with the given points (0,-3) and (2,9) in point slope form

Equation: Y = mx + b
First of all, we will solve for our M which is our slope.
M = Yb - Ya / Xb - Xa
M = 9 - (-3) / 2 - 0
M = 9 + 3 / 2 - 0
M = 12 / 2
M = 6

Now that we have our slope, we will be finding our y-intercept.
Y = mx + b
9 = (6)(2) + b
9 = 12 + b
= 9-12 = 12-12 + b (12 cancels out)
= -3 = b

So, therefore, the equation is: Y = 6x - 3