Answer: y - 3 = -3(x + 2)
Explanation:
The point-slope form of an equation takes a coordinate point on the line and the slope of the line. It is in the form y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the graph.
We are given a point, we will use (-2, 3) for our equation.
Next, we will find the slope. We can use the "rise over run" method, which finds the change in y over the change in x. Starting at (-2, 3), we count down three and right one to (-1, 0). This gives us a slope of -3.
Lastly, we will create our equation with both pieces.
y - y1 = m(x - x1)
y - 3 = -3(x + 2)