What are the intercepts of 3x-9y=25?

Jul 6, 2016

$x = \frac{25}{3} = 8 \frac{1}{3} \text{ and } y = \frac{25}{- 9} = - 2 \frac{7}{9}$

Explanation:

To find the x-intercept, make y = 0.
$3 x - 9 \left(0\right) = 25$

$x = \frac{25}{3} = 8 \frac{1}{3}$

To find the y-intercept, make x = 0.

$3 \left(0\right) - 9 y = 25$

$y = \frac{25}{- 9} = - 2 \frac{7}{9}$

For the y intercept you can also change the equation into standard form , $y = m x + c$

$3 x - 9 y = 25$

$3 x - 25 = 9 y$

$y = \frac{1}{3} x - \frac{25}{9} \text{ } c = - \frac{25}{9}$