# What are the intercepts of : y= - 6/5x + 6 ?

Apr 14, 2018

color(brown)("x-intercept " = 5, " y-intercept " = 6

#### Explanation:

$y = - \left(\frac{6}{5}\right) x + 6$

$\text{ equation is in slope - intercept form } y = m x + c$

$\text{As c is the y-intercept, } c = 6$

When y = 0, we get the x-intercept.

$\therefore 0 = - \left(\frac{6}{5}\right) x + 6$

$\left(\frac{6}{5}\right) x = 6 \text{ or } x = \frac{\cancel{6} \cdot 5}{\cancel{6}} = 5$

$\therefore \text{ x-intercept } = a = 5$

color(crimson)("Intercept form of equation is " x / 5 + y/6 = 1