Question

How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?

Answer 1

`y=m(x+8)`

Explanation:

Equation of a line passing through point `(x_1,y_1)` and having a slope `m` is `(y-y_1)=m(x-x_1)`, irrespective of whether the point forms intercept on `x` or `y` axis or not.

Hence the equation of line forming intercept `-8` on `x` axis having a slope `m` is

`(y-0)=m(x-(-8))` or

`y=m(x+8)`