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

`p=3`

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 = (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 = (p-7)/(7-8)`

Now we'll just solve for 'p'

`4 = (p-7)/(-1)`

`4(-1) = p-7`

`-4+7 =p`

`p=3`

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