Question

A line with a slope of 4 passes through the points (8,7) and (7,p). What is the value of p

Answer 1

Answer:

$p=3$

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.

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here,

$m=4\quad, (x_1,y_1)=(8,7)\quad,(x_2,y_2)=(7,p)$

$4 = \dfrac{p-7}{7-8}$

Now we'll just solve for 'p'

$4 = \dfrac{p-7}{-1}$

$4(-1) = p-7$

$-4+7 =p$

$p=3$

Hence, the line passes through (8,7) and (7,3)