# How do you find the equation, x-intercept, and the y-intercept for the line with an x-intercept of 4 and a slope of 3/4?

Jan 17, 2018

$x$-intercept is $4$, $y$-intercept is $- 3$ and equation in general foorm is $3 x - 4 y - 12 = 0$

#### Explanation:

As $x$-intercept of the line is $4$, the line passes through $\left(4 , 0\right)$. As its slope is $\frac{3}{4}$, we can use point slpe form to find the equation and equation is

$y - 0 = \frac{3}{4} \left(x - 4\right)$

or $4 y = 3 x - 12$ or $3 x - 4 y - 12 = 0$ in general form

or $y = \frac{3}{4} x - 3$ in slope intercept form.

Hence, $y$-intercept is $- 3$.

graph{3/4x-3 [-10, 10, -5, 5]}