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

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Answer 1 · 2015-10-31T17:40:13

$(3/2, 0)$

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

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

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 $x.$

$y=2x-3$
$0=2x-3$
$3=2x$
$3/2 = x$ or $x=3/2$

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