Question

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)

Answer 1

Answer using slope formula:

$\frac{y2-y1}{x2-x1}$

We can find the slope.

Substitute:

$\frac{5-2}{2-1}$

Subtract:

$\frac{3}{1}$

$\frac{3}{1}= 3$

Our slope is 3.

Now we will use Point Slope formula:

$y-y1=m(x-x1)$

To find our equation.

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

Substitute:

$y-2=3(x-1)$

Your answer is C. (y − 2) = 3(x − 1).

Hope this helped! :)