Question

Line m has no y-intercept, and its x-intercept is (3, 0). Line n has no x-intercept, and its y-intercept is (0, -4).

The equation of line m is ( )

, and the equation of line n is ( )

Answer 1

The equation of line m is x=3 and the equation of line n is y=-4

Explanation:

If line m has no y-intercept, then it is parallel to the y-axis. The line parallel to the y-axis has the equation
`x=a.` Since its x-intercept is (3, 0), then the coordinates of this point satisfy the equation of the line:

`3=a.`

Hence, the equation of the line is
`x=3.`

If line n has no x-intercept, then it is parallel to the x-axis. The line parallel to the x-axis has the equation
`y=b.` Since its y-intercept is (0, -4), then the coordinates of this point satisfy the equation of the line:

`-4=b.`

Hence, the equation of the line is
`y=-4.`

Answer 2

Line m - x=3

Line n - y=-4

Explanation:

If a line has no y-intercept, it is a vertical line through the x-axis with the equation x=a. a is the x-value of the coordinate points. That means line m has equation x=3.

If a line has no x-intercept, it is a horizontal line through the y-axis with the equation y=b. b is the y-value of the coordinate points. That means line n has equation y=-4.