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