# How to find slope using a line that has an x-intercept of 3 and a y-intercept of 4?

##### 1 Answer
Apr 7, 2015

By definition an x-intercept of $3$ is the point $\left(x , y\right) = \left(3 , 0\right)$
and
a y-intercept of $4$ is the point $\left(x , y\right) = \left(0 , 4\right)$

The slope is defined as
$\frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

In this case
slope $= \frac{4 - 0}{0 - 3} = - \frac{4}{3}$