# How do you find the x and y intercept given 6x - 3y = -10?

Apr 14, 2018

color(blue)("x-intercept = -(5/3), y-intercept = 10/3"

#### Explanation:

By substituting the value of x & y with zero, one can get the y and x intercepts respectively.

$6 x - 3 y = - 10$

Let x = 0,

Then, $\textcolor{red}{\cancel{6 \cdot 0}} - 3 y = - 10$

$\therefore y = \frac{10}{3}$

Similarly, $6 x - \textcolor{red}{\cancel{3 \cdot 0}} = - 10$

$x = - \frac{10}{6} = - \frac{5}{3}$

:. color(blue)("x-intercept = -(5/3), y-intercept = 10/3"