Question

Identify the slope and y-intercept of the equation4x + y = 8

Answer 1

The general form of a linear equation in the slope-intercept form is given to be:

`y=mx+b`

where m is the slope and b is the y-intercept.

The equation in the question is given to be:

`4x+y=8`

To get the slope and y-intercept, we just need to make y the subject of the equation. This we can do by subtracting 4x from both sides of the equation:

`\begin{gathered} 4x+y-4x=8-4x \\ y=-4x+8 \end{gathered}`

That is the equation in the slope-intercept form.

Therefore, the slope and y-intercept of the equation are given to be:

`\begin{gathered} Slope\Rightarrow-4 \\ Y-Intercept\Rightarrow8 \end{gathered}`