Question

13. Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept,

and its y-intercept is (0, 3).
Write the equation of line m.
Write the equation of line n.

Answer 1

Line m equation is
`x+5 = 0` .

Line n equation is
`y+3 = 0` .

Explanation:

Here , we have Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept, and its y-intercept is (0, 3). Let's find out equation of both line step by step:

Equation of line m:

Line m has no y-intercept , that means line is never intersecting y-axis which is only possible when line is parallel to y-axis , also this line have x-intercept as (-5,0) i.e. cuts x-axis at x = -5 .

⇒
`x = -5`

⇒
`x+5 = 0`

∴ Line m equation is
`x+5 = 0` .

Equation of line n:

Line n has no x-intercept , that means line is never intersecting x-axis which is only possible when line is parallel to x-axis , also this line have y-intercept as (0,3) i.e. cuts y-axis at y = 3 .

⇒
`y = -3`

⇒
`y+3 = 0`

∴ Line n equation is
`y+3 = 0` .