# How do you find the slope and the y-intercept of the line represented by the equation: -3x + 4y = 8?

May 7, 2018

Refer to explanation

#### Explanation:

First, rewrite the equation in the form, $y = m x + c$.

$4 y - 3 x = 8$

$4 y = 3 x + 8$

$y = \frac{3}{4} x + 2$

The gradient of the line is the the coefficient of x.

$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{3}{4}$

To calculate the $y$ intercept, you make $x = 0$.

$y = \frac{3}{4} \left(0\right) + 2$

$y = 2$