Question

Convert each equation to slope-intercept form. Then label the slope & y-intercept.

Answer 1

C. The equation is

`4x-6y=18`

An equation is in slope-intercept form if it is in the form

`y=mx+c`

Expressing the given equation in slope-intercept

This gives

`\begin{gathered} 4x-6y=18 \\ -6y=-4x+18 \end{gathered}`

Divide through by -6

This gives

`\begin{gathered} -(6y)/(-6)=-(4x)/(-6)+(18)/(-6) \\ y=(2)/(3)x-3 \end{gathered}`

Therefore, the slope-intercept form of the given equation is

`y=(2)/(3)x-3`

Where

slope = 2/3

y-intercept = -3