Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 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 3 , and the equation of line n is -4 .

Answer 1

Part A) The equation of the line m is
`x=3`

Part B) The equation of the line n is
`y=-4`

Explanation:

Part A) Line m has no y-intercept, and its x-intercept is (3, 0)

we know that

If a line has no y-intercept , then is a vertical line (parallel to the y-axis)

the equation of the line m is equal to the x-coordinate of the x-intercept

so

`x=3`

Part B) Line n has no x-intercept, and its y-intercept is (0, -4)

we know that

If a line has no x-intercept , then is a horizontal line (parallel to the x-axis)

the equation of the line n is equal to the y-coordinate of the y-intercept

so

`y=-4`