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

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Answer 1 · 2015-10-31T17:40:13

$(\frac{3}{2}, 0)$ $(3/2, 0)$

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

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

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

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

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