# How do you graph using the intercepts for -4x-15y=-17?

Nov 7, 2015

Draw a graph, plot the two intercepts, and draw a line through the two points...

graph{y = 17/15-(4 x)/15 [-10, 10, -5, 5]}

my first time using this graph thing, hope it helps :)

#### Explanation:

To find the intercepts, we plug in zero for x and y, respectively.
First we'll do x...
let $x = 0$,

$- 4 \left(0\right) - 15 y = - 17$

$- 15 y = - 17$

$y = \frac{17}{15}$ when $x = 0$

this gives us the point $\left(0 , \frac{17}{15}\right)$

Now, let $y = 0$

$- 4 x - 15 \left(0\right) = - 17$

$- 4 x = - 17$

$x = \frac{17}{4}$ when $y = 0$

this gives us the point $\left(\frac{17}{4} , 0\right)$