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27 votes
27 votes
Find the equation of the given line.Find the equation of the line passing through (2, 4) with slope 9.y =

User Alexander Cogneau
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2.7k points

1 Answer

12 votes
12 votes

We know that

• The slope is 9.

,

• The line passes through the point (2, 4).

We have to use the point-slope formula.


y-y_1=m(x-x_1)

Where,


\begin{gathered} y_1=4 \\ x_1=2 \\ m=9 \end{gathered}

Replacing these values, we have.


y-4=9(x-2)

Now, we solve for y.


\begin{gathered} y-4=9x-18 \\ y=9x-18+4 \\ y=9x-14 \end{gathered}

Therefore, the equation of the line is y = 9x - 14.

User Kris
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3.1k points