In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
y = 1/3x + 4
Step 02:
equation of the line:
x = 0, y-intercept:
[tex]y=\frac{1}{3}(0)\text{ + 4 = 0 + 4 = 4 }[/tex]y = 0, x-intercept:
[tex]\begin{gathered} 0=\frac{1}{3}x+4 \\ \\ -4=\frac{1}{3}x \\ \\ 3*(-4)=x \\ \\ -12=x \end{gathered}[/tex]The answer is:
x-intercept:
x = -12
y-intercept:
y = 4