slope Y intercept graph with a fraction

Question

I have the problem Y=3/2x+3 I know 3 is my y intercept and 3/2 is my slope but Im confused on how i would graph it

Answer 1

Plot the point (0,3) the y intercept

find the x intercept, by setting y=0 and solving for x

0 =(3/2)x + 3

(3/2)x = -3

x = (2/3)(-3) = -2

the x intercept is the point (-2,0)

plot the point (-2,0) and the point (0,3)

connect those two points with a straight line, that's the graph of the equation, it's a straight line, upward sloping