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

If line m never intercepts the y-axis and line n never intercepts the x-axis, then it's safe to say that the equation of line m is x = 3 and of line n is y = -4

Answer 2

Equation of line 'm' is : x = 3

Equation of line 'n' is : y = -4

Explanation:

Given that,

Two lines m & n.

Line 'm' has no y-intercept and x intercept is (3,0)

It means line 'm' is parallel to y axis

Standard equation of parallel line of y-axis is :

x = a

So, equation of line 'm' is :

x = 3

Line 'n' has no x-intercept and y intercept is (0,-4)

It means line 'n' is parallel to x axis

Standard equation of parallel line of x-axis is :

y = b

So, equation of line 'm' is :

y = -4

Equation of line 'm' is : x = 3

Equation of line 'n' is : y = -4