Hey there!
Slope intercept form is defined as:
y = mx + b
Where m is the slope and b is the y intercept.
In order to find the slope, we can use the slope given two points formula:
y2-y1/x2-x1 = 4-(-3)/0-(-2) = 4 + 3/2 = 7/2
Now, we can plug in the x and y values, as well as the slope to find b. We'll use (-2, -3). We have:
-3 = 7/2(-2) + b
-3 = -14/2 + b
-3 = -7 + b
-3 + 7 = b
4 = b
Our equation is y = 7/2x + 4
Hope this helps!
