Answer:
y-9=7(x+5)
Step-by-step explanation:
Point-Slope form is
[tex]y-y_{1} =m(x-x_{1} )[/tex]
where m equals the slope of the line and y1 and x1 represent the y and x coordinates of one of the points on that line.
First, let's find the slope (change in y divided by the change in x):
[tex]\frac{9-(-5)}{-5-(-7)} =\frac{14}{2} =7[/tex]
Now, let's choose any one of the two points, I'll pick (-5,9), but (-7, -5) also works.
Substitute in the y value (in this case 9) for y1 and substitute the x value (in this case -5) for x1
We can also substitute the slope, m which we know is 7.
y-9=7(x-(-5)
y-9=7(x+5)
