Question

Hi!

What is the equation in point-slope form of the line passing through (1, 2) and (2, 5)?

a. (y - 2) = -3(x - 1)
b. (y - 2) = 3(x - 1)
c. (y - 1) = -3(x - 2)
d. (y + 2) = 3(x + 1)

Thanks in advance! :-)

Answer 1

The slope \[m = \frac{y1-y0}{x1-x0} = \frac{5-2}{2-1} = 3\], so, \(y - 2 = 3(x-1)\)

Answer 2

\[\huge\rm \frac{ y_2 - y_1}{ x_2 -x_1 }\]
use two order pair
where x and y values are \[\huge\rm (x_1 ,y_1)(x_2 ,y_2)\]

Answer 3

\[\huge\rm y -y_1 = m(x - x_1)\]
point slope form where m is slope
and replace y_1 and x_1 by one of order pair
doesn't matter which one you pick

Answer 4

@Nnesha @M4thM1nd thank you, both! :-)
The answer is indeed D.

Answer 5

how is it D ?

Answer 6

@Nnesha whoops! I mean B!!! I have no idea why I typed that before LOL