# What are the intercepts of 7x+16y=4?

##### 1 Answer
Apr 14, 2018

color(indigo)("x-intercept " = a = 4/7, " y-intercept " = b = 1/4

#### Explanation:

$7 x + 16 y = 4$

Intercept form of standard equation is $\frac{x}{a} + \frac{y}{b} = 1$

$\left(\frac{7}{4}\right) x + \left(\frac{16}{4}\right) y = 1$

$\frac{x}{\frac{4}{7}} + \frac{y}{\frac{1}{4}} = 1$

color(indigo)("x-intercept " = a = 4/7, " y-intercept " = b = 1/4