# How do you find the x and y intercepts for 7x + 8y = 18?

May 1, 2018

$\therefore y$-intercept = $\frac{18}{8}$

$\therefore x$-intercept = $\frac{18}{7}$

#### Explanation:

$x$-intercept means the point where the lines reaches the $x$-axis which means $y = 0$

$y$-intercept means the point where the lines reaches the $y$-axis which means $x = 0$

To find $y$-intercept, there is also another method which is by using the formulae itself, which is $y = m x + c$ where $c$ stands for $y$-intercept.

Regarding your question, to find $y$-intercept using
[$y = m x + c$ method]

$\implies 7 x + 8 y = 18$

$\implies y = \frac{18 - 7 x}{8}$

$\implies y = \frac{18}{8} - \frac{7 x}{8}$

$\implies y = - \frac{7 x}{8} + \frac{18}{8}$

$\therefore y$-intercept = $\frac{18}{8}$

Or apply $x = 0$

$\implies 8 y = 18$

$\therefore y$ -intercept = $\frac{18}{8}$

To find $x$-intercept, apply $y = 0$

$\implies \frac{18}{8} = \frac{7 x}{8}$

$\implies 144 = 56 x$

$\therefore x$-intercept = $\frac{18}{7}$