Question

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

Answer 1

Answer:

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

$(y-4)=\frac{4}{3}(x+2)$

The graph in the attached figure

Step-by-step 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

$(y-4)=\frac{4}{3}(x+2)$

In this equation

the point is (-2,4)

the slope is $m=\frac{4}{3}$

using a graphing tool

The graph in the attached figure