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expeople1 [14]
3 years ago
9

WORTH 60 points

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0
The population is tripling each minute
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A line contains (9,y) and (-6,3). It has slope 2/3, find y
koban [17]

The line contains (9,y) and (-6,3) Then y is 13

<em><u>Solution:</u></em>

Given that a line contains (9, y) and (-6, 3)

Slope of line is \frac{2}{3}

To find: y

<em><u>The slope of line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here }\left(x_{1}, y_{1}\right)=(9, y) \text { and }\left(x_{2}, y_{2}\right)=(-6,3)

<em><u>Substituting the values in formula,</u></em>

m=\frac{3-y}{-6-9}

Substitute m = \frac{2}{3}

\frac{2}{3}=\frac{3-y}{-6-9}

2(-6 - 9) = 3(3 - y)

Multiplying the terms with terms inside bracket

-12 - 18 = 9 - 3y

Move the variable to one side

-30 = 9 - 3y

On solving we get,

3y = 30 + 9

3y = 39

Divide both sides by 3, we get

y = 13

Thus y = 13

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