How do you graph 7x+2y=6 using the intercepts?

May 19, 2017

See below:

Explanation:

The intercepts are defined as $\left(x , 0\right)$ and $\left(0 , y\right)$. That means that if we plug in $0$ for $y$, when we solve for $x$, we'll get the x-intercept and vice versa.

So make $y = 0$

$7 x + 2 \left(0\right) = 6$

Solve for $x$:

$7 x = 6$

$x = \frac{6}{7}$

Now make $x = 0$:

$7 \left(0\right) + 2 y = 6$

Now solve for $y$:

$2 y = 6$

$y = 3$

So now we have the points $\left(\frac{6}{7} , 0\right)$ and $\left(0 , 3\right)$. Now just connect the dots. Your graph will look something like this:

graph{7x+2y=6 [-10, 10, -5, 5]}