What is the intercept from these two lines.
Please explain.

Answer:
Detailed answer in explanation.
Step-by-step explanation:
When you substitute x as 0 you'll get the y-intercept and when you do the same for y you'll get the x-intercept.
[tex]y=\frac{1}{4} x-3[/tex]
x-intercept(s): (12,0)
y-intercept(s): (0,−3)
[tex]y=-\frac{3}{2} x+4[/tex]
x-intercept(s): (8/3,0)
y-intercept(s): (0,4)
Now that we got these values you can plot them into the graph and start graphing the two lines. The lines will intersect at (4,-2) as shown in the graph attached.