Answer:
x-intercept: (12, 0)
y-intercept: (0, - 3)
Step-by-step explanation:
The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation. Solve for x.
[tex]y = \frac{1}{4} x - 3[/tex]
[tex]0 = \frac{1}{4} x - 3[/tex]
[tex]3 = \frac{1}{4} x[/tex]
[tex]12 = x[/tex]
x-intercept: (12, 0)
The y-intercept is the value of y when x = 0. Substitute 0 for x in the equation. Solve for y.
[tex]y = \frac{1}{4} x - 3[/tex]
[tex]y = \frac{1}{4} (0) - 3[/tex]
[tex]y = - 3[/tex]
y-intercept (0, - 3)
