Question

Solve 2x-y=8 for slope and y intercept

Answer 1

Given: The equation of a line below

`2x-y=8`

To Determine: The slope and the y intercept

Solution

The general form of slope-intercept form of a line is given as

`\begin{gathered} y=mx+c \\ Where \\ m=slope \\ c=y-intercept \end{gathered}`

Let us re-write the given equation in slope-intercept form

`\begin{gathered} 2x-y=8 \\ 2x=8+y \\ 8+y=2x \\ y=2x-8 \end{gathered}`

Let us compare the derived given equation to the general form

`\begin{gathered} y=mx+c \\ y=2x-8 \\ m=2 \\ c=-8 \end{gathered}`

The graph is as shown below

Hence, the slope is 2 and the y intercept is -8