# How do you find the x and y intercept of x – 9y = – 45?

Jul 5, 2016

Here it is

#### Explanation:

Hopefully, you have already learnt the equation of a line which states that

$\textcolor{red}{\text{y = mx + c}}$

where m is the gradient (m = y/x) and c is the y-intercept. (and x and y the coordinates.)

Now arranging your equation into above mentioned format;

x– 9y= –45

$- 9 y = - x - 45$

$y = \frac{- x}{-} 9 + \frac{- 45}{-} 9$

$y = \frac{1}{9} \cdot x + 5$

Now you from this equation you can see that color(Magenta)"1/9 is the gradient m "and $\textcolor{b l u e}{\text{5 is c which is the y intercept.}}$

SO OUR Y-INTERCEPT IS FOUND WHICH IS 5.

Now for finding x-intercept then y coordinate must be equal to ZERO.

So we put the equation equal to ZERO, like this:

$0 = \frac{1}{9} \cdot x + 5$

$- 5 = \frac{1}{9} \cdot x$

$x = - 45$

SO at -45 the line intersects the x-axis.

SO OUR X-INTERCEPT EQUALS TO -45.