What are the intercepts of 7x-9y=8?

Apr 26, 2016

The x-intercept is $\left(\frac{8}{7} , 0\right)$

The y-intercept is $\left(0 , \frac{8}{-} 9\right)$ or $\left(0 , - \frac{8}{9}\right)$

Explanation:

Intercepts are points where a graph crosses the x and y axis.

For a linear equation, like your problem, it is very easy to locate these two points. First the x-intercept can be found by substituting "0" in place of the "y" in your equation.

$7 x - 9 y = 8$
$7 x - 9 \left(0\right) = 8$
$7 x = 8$
$x = \frac{8}{7}$ The x-intercept is located at the point $\left(\frac{8}{7} , 0\right)$

In the same way, you can calculate the y-intercept by substituting "0" in for the "x" variable in the equation.

$7 x - 9 y = 8$
$7 \left(0\right) - 9 y = 8$
$- 9 y = 8$
$y = - \frac{8}{9}$ The y-intercept is at the point $\left(0 , - \frac{8}{9}\right)$