The line y = 3/2x - 1/2 using intercepts (1/3, 0) and (0, -1/2) is graphed and attached
Graphing the line using intercepts
From the question, we have the following parameters that can be used in our computation:
y = 3/2x - 1/2
Set x = 0 to calculate the y-intercept
So, we have
y = 3/2(0) - 1/2
y = -1/2
This gives
y = -1/2
So, the y-intercept is (0, -1/2)
Set y = 0 to calculate the x-intercept
So, we have
0 = 3/2x - 1/2
3/2x = 1/2
This gives
x = 1/3
So, the x-intercept is (1/3, 0)
The line using intercepts is graphed and attached