# How do you find the x and y intercept of 5x - 7y = 1?

Jun 20, 2017

$x$-intercept: (1/5, 0); " "y-intercept: $\left(0 , - \frac{1}{7}\right)$

#### Explanation:

Given: $5 x - 7 y = 1$

To find the $x$-intercept, set $y = 0$ and solve for $x$:

$5 x - 7 \left(0\right) = 1$

$5 x = 1$

$\frac{5 x}{5} = \frac{1}{5}$
$x$-intercept: $\left(\frac{1}{5} , 0\right)$

To find the $y$-intercept, set $x = 0$ and solve for $y$:

$5 \left(0\right) - 7 y = 1$

$- 7 y = 1$

$\frac{- 7 y}{-} 7 = \frac{1}{- 7}$

$y$-intercept: $\left(0 , - \frac{1}{7}\right)$