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=(y_2-y_1)/(x_2-x_1)`

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

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

therefore f=4