Line m equation is [tex]x+5 = 0[/tex] .
Line n equation is [tex]y+3 = 0[/tex] .
Step-by-step 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 .
⇒ [tex]x = -5[/tex]
⇒ [tex]x+5 = 0[/tex]
∴ Line m equation is [tex]x+5 = 0[/tex] .
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 .
⇒ [tex]y = -3[/tex]
⇒ [tex]y+3 = 0[/tex]
∴ Line n equation is [tex]y+3 = 0[/tex] .
