How do you find the x and y intercept of 5y = x + 6?

1 Answer
Oct 31, 2017

x-intercept: $\left(- 6 , 0\right)$

y-intercept: $\left(0 , \frac{6}{5}\right)$

Explanation:

Given:

$5 y = x + 6$

The x-intercept is the value for $x$ when $y = 0$.

$5 \left(0\right) = x + 6$

$0 = x + 6$

Subtract $6$ from both sides.

$- 6 = x$

Switch sides.

$x = - 6$

x-intercept: $\left(- 6 , 0\right)$

The y-intercept is the value of $y$ when $x = 0$.

$5 y = x + 6$

$5 y = 0 + 6$

$5 y = 6$

Divide both sides by $5$.

$y = \frac{6}{5}$

y-intercept: $\left(0 , \frac{6}{5}\right)$