A line has a slope of \(-\frac{3}{7}\) and its y-intercept is (0,18). What is its x-intercept?
Its x-intercept is (x, 0).
The slope is \(\frac{0-18}{x-0}=\frac{-18}{x}\).
We are told this equals -3/7 so \(\frac{-18}{x}=\frac{-3}{7}\).
Solving for x, we find that the x-intercept is (42,0)