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horsena [70]
3 years ago
10

How do you write an equation in standard form given point (2,2) (0,-4)

Mathematics
1 answer:
notka56 [123]3 years ago
6 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 2) and (0, -4). Substitute:

m=\dfrac{-4-2}{0-2}=\dfrac{-6}{-2}=3\\\\y-2=3(x-2)

The standard form:

Ax+By=C


y-2=3(x-2)        <em>use distributive property</em>

y-2=3x-6          <em>add 6 to both sides</em>

y+4=3x        <em>subtract y from both sides</em>

4=3x-y

<h3>Answer: 3x - y = 4</h3>
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