# How do you graph using the intercepts for 7x + 4y = 17?

Aug 8, 2018

Put zero in for both x and y solve for the other variable and then graph ( X, 0) and (0,Y) Draw a line between the two intercepts.

#### Explanation:

$7 \times 0 + 4 y = 17$

$4 y = 17$

$\frac{4 y}{4} = \frac{17}{4}$

$y = \frac{17}{4} \mathmr{and} 4 \frac{1}{4}$

$7 x + 4 \times 0 = 17$

$7 x = 17$

$\frac{7 x}{7} = \frac{17}{7}$

$x = \frac{17}{7}$

Plot $\left(0 , \frac{17}{4}\right)$ and $\left(\frac{17}{7} , 0\right)$

Connect the two points.

graph{7x+4y=17 [-9.92, 10.08, -2.88, 7.12]}