Question

I need some help finding slope from an equation-4y = 12+2x

Answer 1

Given the equation:

`-4y=12+2x`

To find the slope of the equation, solve the equation for (y)

It is required to make the equation like the slope-intercept form

`y=mx+b`

So, for the given equation, divide all terms by (-4)

So,

`\begin{gathered} (-4y)/(-4)=(12)/(-4)+(2x)/(-4) \\ \\ y=-3-(1)/(2)x \\ \\ y=-(1)/(2)x-3 \end{gathered}`

compare the last result with the slope-intercept form

So, the slope = m = -1/2

So, the answer will be:

`\text{slope}=-(1)/(2)`