Question

Rewrite this equation in slope- intercept from: 4y - 3x = 4

Answer 1

We are given the following equation

`4y-3x=4​`

We are asked to write the equation in slope-intercept from

Recall that slope-intercept is given by

`y=mx+b`

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

So let us convert the given equation into the slope-intercept form by solving for y.

`4y-3x=4`

Add 3x on both sides of the equation

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

Divide both sides of the equation by 4.

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

The slope is 3/4 and the y-intercept is 1

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

`y=(3)/(4)x+1`