Question

if “line m” has no y-intercept and it’s x-intercept is (3,0), and “line n” has no x-intercept and its y-intercept is (0,-4), what are the equations of each line?

Answer 1

Answer

• Line m: x = 3

,

• Line n: y = –4

Explanation

If a line has no y-intercept, it means it must be parallel to the y - axis. Thus, it is a vertical line that will only cross the x-axis once (in this case).

As we are given that the x-intercept is (3,0), then the equation of line m is:

$x=3$

Following the same logic, if a line has no x-intercept, it will be parallel to the x-axis and it will be a vertical line.

As we are given that the y-intercept is (0,-4), then the equation of line n is:

$y=-4$