# How do you graph using the intercepts for 3x-5y= -10?

May 30, 2018

Refer to the explanation.

#### Explanation:

If you want to graph the equation using the intercepts, convert the equation into the Intercept-form.
i.e., $\frac{x}{a} + \frac{y}{b} = 1$, where $a$ is the intercept on X-axis and $b$ of Y-axis.

we have,

$3 x - 5 y = - 10$

Dividing both side by -10,

$\frac{y}{2} - 3 \frac{x}{10} = 1$

Or,

$\frac{x}{- \frac{10}{3}} + \frac{y}{2} = 1$

On comparing it with the intercept form,

X-intercept = $- \frac{10}{3}$ and Y-intercept = 2

So in order to draw the graph of the following equation, you just have to join the points $\left(- \frac{10}{3} , 0\right)$ and $\left(0 , 2\right)$ and extend the line as required.

Hope it helps :)