# How to find the x and y-intercept given 5y=5x+15?

May 5, 2015

The x-intercept is the value of $x$ on the x-axis where the line represented by the equation crosses the x-axis.
For all points on the x-axis, $y = 0$
$5 y = 5 x + 15$
becomes $5 \left(0\right) = 5 x + 15$ on the x-axis.
$x = - 3$
The x-intercept is $\left(- 3\right)$

Similarly for the y-intercept
$5 y = 5 \left(0\right) + 15$
$y = 3$
The y-intercept is $3$