Question

What is 3y-12=4x+8 in Point-Slope form and graphed but the line needs to pass through (-2,4)

Answer 1

The equation of the line in point slope form is equal to

`(y-4)=(4)/(3)(x+2)`

The graph in the attached figure

Explanation:

we know that

The equation of a line in point-slope form is equal to

`y-y1=m(x-x1)`

we have

`3y-12=4x+8`

Convert to point slope form

Factor 3 left side and factor 4 right side

`3(y-4)=4(x+2)`

Divide by 3 both sides

`(y-4)=(4)/(3)(x+2)`

In this equation

the point is (-2,4)

the slope is
`m=(4)/(3)`

using a graphing tool

The graph in the attached figure