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:

`(y2-y1)/(x2-x1)`

We can find the slope.

Substitute:

`(5-2)/(2-1)`

Subtract:

`(3)/(1)`

`(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! :)