Answer:
[tex]\textsf{The equation of line $m$ is $\boxed{x = 3}$}[/tex]
[tex]\textsf{The equation of line $n$ is $\boxed{y = -4}$}[/tex]
Step-by-step explanation:
Equation of line m
If a line has no y-intercept, it means it does not intersect the y-axis, which implies that it is a vertical line.
The equation of a vertical line is x = a, where (a, 0) is its x-intercept.
Given that line m has no y-intercept, and its x-intercept is (3, 0), the equation of line m is:
[tex]\LARGE\boxed{\boxed{x=3}}[/tex]
[tex]\dotfill[/tex]
Equation of line n
If a line has no x-intercept, it means it does not intersect the x-axis, which implies that it is a horizontal line.
The equation of a horizontal line is y = b, where (0, b) is its y-intercept.
Given that line n has no x-intercept, and its y-intercept is (0, -4), the equation of line n is:
[tex]\LARGE\boxed{\boxed{y= -4}}[/tex]
