# How do you graph using the intercepts for 4x-3y=-19?

May 21, 2016

${y}_{\text{intercept}} = + \frac{19}{3}$
${x}_{\text{intercept}} = - \frac{19}{4}$

Mark you points and draw a straight line through them.

#### Explanation:

Think about where the graph axis cross. The y-axis is where $x = 0$ and the x-axis is where $y = 0$

To find ${y}_{\text{intercept}}$ set $x = 0$

$\textcolor{b r o w n}{4 x - 3 y = - 19} \textcolor{b l u e}{\text{ "->" } 4 \left(0\right) - 3 y = - 19}$

Divide both sides by $\left(- 3\right)$

${y}_{\text{intercept}} = \frac{- 19}{- 3} = + \frac{19}{3}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To find ${x}_{\text{intercept}}$ set $y = 0$

$\textcolor{b r o w n}{4 x - 3 y = - 19} \textcolor{b l u e}{\text{ "->" } 4 x - 3 \left(0\right) = - 19}$

Divide both sides by +4

${x}_{\text{intercept}} = - \frac{19}{4}$