Answer:
[tex]p=3[/tex]
Step-by-step explanation:
There are multiple ways to solve this, but since two points are provided (8,7) and (7,p) and the slope is also given (m=4), we can use the formula for the slope.
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here,
[tex]m=4\quad, (x_1,y_1)=(8,7)\quad,(x_2,y_2)=(7,p)[/tex]
[tex]4 = \dfrac{p-7}{7-8}[/tex]
Now we'll just solve for 'p'
[tex]4 = \dfrac{p-7}{-1}[/tex]
[tex]4(-1) = p-7[/tex]
[tex]-4+7 =p[/tex]
[tex]p=3[/tex]
Hence, the line passes through (8,7) and (7,3)
