Answer
y = $\frac{3}{2}$x + 3
Work Step by Step
The given x- intercept is -2 and the y- intercept is 3.
An equation of a line is y=mx+b where b is the y- intercept. We substitute b=3
y=mx+3
We use the x-intercept of -2 to find the m by substituting x=-2 and y=0
y=mx+3
0=m(-2)+3
We subtract 3 from both sides
-3 = -2m
We divide 2 from both sides
m = $\frac{3}{2}$
The equation of the line is y = $\frac{3}{2}$x + 3
