Question

Write 4x-3y=21 in slope Intercept form

Answer 1

The given equation is

`4x-3y=21`

First, we subtract 4x from each side

`\begin{gathered} 4x-4x-3y=21-4x \\ -3y=21-4x \end{gathered}`

Then, we divide the equation by -3

`\begin{gathered} (-3y)/(-3)=(21-4x)/(-3) \\ y=-7+(4x)/(3) \end{gathered}`

Hence, the equation in slope-intercept form is

`y=(4x)/(3)-7`