Question

Write the equation 5X +10y= -40 in slope intercept form and graph.

Answer 1

Line equations can be written in slope-intercept form, and this form is

`y=mx+b`

Where m represents the slope and b the y-intercept.

The equation of our line is

`5x+10y=-40`

To rewrite in slope-intercept form, let's start by subtracting 5x on both sides

`\begin{gathered} 5x+10y-5x=-40-5x \\ 10y=-5x-40 \end{gathered}`

Now, we just divide both sides by 10

`\begin{gathered} (10y)/(10)=-(5x)/(10)-(40)/(10) \\ y=-(1)/(2)x-4 \end{gathered}`

This is the line equation in slope-intercept form

`y=-(1)/(2)x-4`