Question

a line that includes (f,6) and (2,4) has a slope of 1. What is the value of f?

Answer 1

The slope between two points is given as:

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

plugging the values we have and solving for f we have:

$\begin{gathered} 1=\frac{4-6}{2-f} \\ 1(2-f)=4-6 \\ 2-f=-2 \\ f=2+2 \\ f=4 \end{gathered}$

therefore f=4