How do you graph using the intercepts for  7x+2y=24?

Nov 10, 2015

Plot the intercept points $\left(0 , 12\right)$ and $\left(3 \frac{3}{7} , 0\right)$ then draw a straight line through the two points

Explanation:

The y-intercept is the value of $y$ when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} 7 \left(0\right) + 2 y = 24 \Rightarrow y = 12$
$\textcolor{w h i t e}{\text{XXX}}$y-intercept is at $\left(0 , 12\right)$

Similarly the x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 7 x + 2 \left(0\right) = 20 \Rightarrow x = 3 \frac{3}{7}$
$\textcolor{w h i t e}{\text{XXX}}$x-intercept is at $\left(3 \frac{3}{7} , 0\right)$

The graph should look like: