# What are the intercepts of -11y+35x=7?

Apr 14, 2018

color(indigo)("x-intercept = a = 1/5, y-intercept = b = -7/11"

#### Explanation:

$- 11 y + 35 x = 7$

$\frac{35 x - 11 y}{7} = 1$

$5 x - \left(\frac{11}{7}\right) y = 1$

$\frac{x}{\frac{1}{5}} + \frac{y}{-} \left(\frac{7}{11}\right) = 1$

Equation is in the form $\frac{x}{a} + \frac{y}{b} = 1$ where

$\text{a is x-intercept, b is y-intercept}$

:.color(indigo)("x-intercept = a = 1/5, y-intercept = b = -7/11"