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What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)? (5 points) Group of answer choices (y − 1) = −3(x − 2), (y + 2) = 3(x + 1,) (y − 2) = 3(x − 1), (y − 2) = −3(x − 1)

Respuesta :

DunderMifflinite

Answer using slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

We can find the slope.

Substitute:

[tex]\frac{5-2}{2-1}[/tex]

Subtract:

[tex]\frac{3}{1}[/tex]

[tex]\frac{3}{1}= 3[/tex]

Our slope is 3.

Now we will use Point Slope formula:

[tex]y-y1=m(x-x1)[/tex]

To find our equation.

I will use the first ordered pair, (1,2).

Substitute:

[tex]y-2=3(x-1)[/tex]

Your answer is C. (y − 2) = 3(x − 1).

Hope this helped! :)

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