Answer:
y-0=7(x-5)
Step-by-step explanation:
We must first calculate the slope (m) by using the following formula:
[tex]m=\frac{y_{2}-y_1}{x_{2}-x_{1}} =\frac{0-(-7)}{5-4} =\frac{7}{1} =7[/tex]
So our slope (m) is 7. Now we will plug in our slope and we can choose any point either (4,-7) or (5,0). I will choose (5,0) since it will make the math easier to work with and so:
[tex]y-y_{1}=m(x-x_{1})\\\\y-(0)=7(x-5)[/tex]