Aline with y-intercept (0, −4) and x-intercept (3, 0). find the equation of the line what is the equation

An x-intercept of 3 →(3,0) is a point on the line

A y-intercept of (-2) →(0,−2) is a point on the line

The slope of the line is given by

m=ΔyΔx=0−(−2)3−0=23

The slope-intercept form of the equation of a line is

y=mx+b

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

Therefore the equation of this line can be written as

y=23x−2

If you want to "clear" the fraction this could be re-written as

3y=2x−6