Question

Find the equation of the line with the slope undefined and the x-intercept (-4,0)

Answer 1

Since the given line has a x-intercept, its slope cannot be 0, for otherwise, it would be parallel to the X-Axis.

The equation of a line with slope m ( m ≠ 0) and x-intercept c is y = mx +c. Since this line passes through the point (-4,0), hence on substituting x = -4 and y = 0 in its equation, we get m*(-4) + c = 0 or, c = 4m.

Thus, the equation of a line with the slope undefined and the x-intercept (-4,0) is y = mx +4m, where m (m ≠ 0) is its undefined slope.