Answer:
-17x + y = 128
Step-by-step explanation:
First, find the slope.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{9-(-8) }{-7-(-8)}\\m=\frac{9+8 }{-7+8}\\m=\frac{17}{1} \\m=17[/tex]
Now, use point-slope form to find the equation.
y - y = m(x - x)
y - 9 = 17(x - (-7))
y - 9 = 17(x + 7)
y - 9 = 17x + 119
y = 17x + 128
Since your equation needs to be in Ax + By = C form, rearrange the equation so that the x and y values are on the left side of the equation.
y = 17x + 128
-17x + y = 128
