# How do you graph using the intercepts for 6x - y = 4 ?

May 16, 2018

$y = 6 x - 4$
${x}_{1} = 1 \Rightarrow {y}_{1} = 6 \cdot 1 - 4 = 2$
${x}_{2} = 2 \Rightarrow {y}_{2} = 6 \cdot 2 - 4 = 8$
graph{y=6x-4 [-10, 10, -5, 5]}

May 16, 2018

$\text{see explanation}$

#### Explanation:

$\text{to find the intercepts, that is where the graph crosses}$
$\text{the x and y axes}$

• " let x = 0, in the equation for y-intercept"

• " let y =0, in the equation for x-intercept"

$x = 0 \Rightarrow 0 - y = 4 \Rightarrow y = - 4 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 6 x - 0 = 4 \Rightarrow x = \frac{4}{6} = \frac{2}{3} \leftarrow \textcolor{red}{\text{x-intercept}}$

$\text{plot the points "(0,-4)" and } \left(\frac{2}{3} , 0\right)$

$\text{and draw a straight line through them for graph}$
graph{(y-6x+4)((x-0)^2+(y+4)^2-0.04)((x-2/3)^2+(y-0)^2-0.04)=0 [-14.24, 14.23, -7.12, 7.12]}