Question

Question #dff70

Answer 1

Solve the equation for `y`.

Explanation:

`-4x+3y=21`

Add `4x` to both sides.

`3y=4x+21`

Divide both sides by `3`.

`y=4/3x+21/3`

Simplify.

`y=4/3x+7`

Answer 2

We know that slope-intercept form is

`y=mx+c`
where `m` is slope and `c` is intercept on `y`-axis.

Let us convert given equation `-4x+3y=21` in the above form by keeping `y` term on LHS and all taking remaining terms to RHS.
`=>3y=4x+21`
Dividing both sides by `3`, we get

`(3y)/3=(4x+21)/3`
`y=4/3x+7`
is the required form.

If we plot this equation with inbuilt graphic tool we get the following:

Slope`=(Deltay)/(Deltax)=7/5.25=7/5.25xx4/4=28/21=4/3`
Intercept on `y`axis`=7`