Question

Find the value of x such that the slope of the line containing (x, 5) and (3, -1) is 4.

Answer 1

Given the line containing the points (x, 5) and (3, -1) has a slope of 4

The slope of the line will be:

`\text{slope}=(y_2-y_1)/(x_2-x_1)`

Substitution with the given points:

`(5-(-1))/(x-3)=4`

Solve the equation to find x:

`\begin{gathered} 4(x-3)=5-(-1) \\ 4x-12=5+1 \\ 4x=5+1+12 \\ 4x=18 \\ x=(18)/(4)=4.5 \end{gathered}`

So, the answer will be x = 4.5