Question #ca344

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Question #ca344

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Answer 1 · 2017-10-08T03:03:29

$y - 5 = 2 (x + 2)$ $y-5=2(x+2)$

Explanation:

Point slope form is written in the form,
$y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$
Where $y$ $y$ is your output, $y_{1}$ $y_1$ is a $y$ $y$ -value on your line, $m$ $m$ is your slope (given as 2 here), $x$ $x$ is your input, and $x_{1}$ $x_1$ is $y_{1}$ $y_1$ 's corresponding $x$ $x$ -value.

In your case, you are given all the things you need to write your equation in point-slope form. Simply plug in your $m$ $m$ ( $2$ $2$ ), your $x_{1}$ $x_1$ ( $- 2$ $-2$ ), and your $y_{1}$ $y_1$ ( $5$ $5$ ) which should merit:

$y - 5 = 2 (x + 2)$ $y-5=2(x+2)$

Remember that the $x$ $x$ -side of the equation is $x - x_{1}$ $x-x_1$ , so you would really end up with
$stuff = 2 (x - - 2)$ $"stuff"=2(x--2)$
Which simplifies to
$stuff = 2 (x + 2)$ $"stuff"=2(x+2)$

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Question #ca344

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