# How do you find the x and y intercept for y=2x+3?

Nov 5, 2014

To find the $y$-intercept, set $x = 0$.

$y = 2 \left(0\right) + 3 = 3$.

So, the $y$-intercept is $3$.

To find the $x$-intercept, set $y = 0$.

$0 = 2 x + 3$

by subtracting $2 x$

$\implies - 2 x = 3$

by dividing by $- 2$,

$\implies x = - \frac{3}{2}$.

So, the $x$-intercept is $- \frac{3}{2}$.

I hope that this was helpful.