# What is the x-intercept of y=2(x-5)+7?

Oct 31, 2015

$\left(\frac{3}{2} , 0\right)$

#### Explanation:

First, you have to simplify and rewrite this function.
Distribute the $2$ to $\left(x - 5\right)$.
$y = 2 x - 10 + 7$

Now, simplify.
$y = 2 x - 3$

The x-intercept of a function is the value of $x$ when $y = 0.$ So you would plug in $0$ for $y$ and solve for $x .$

$y = 2 x - 3$
$0 = 2 x - 3$
$3 = 2 x$
$\frac{3}{2} = x$ or $x = \frac{3}{2}$