First let's find the slope
Slope formula:
[tex] \frac{y_2-y_1}{x_2-x_1} =slope[/tex]
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2
Plug these numbers into the formula
[tex] \frac{2-(-7)}{3-(-4)} = \frac{9}{7} [/tex]
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
y-2=9/7(x-3)