Question

A) What is the slope of the line through these points?

B) Write the equation in point slope form using the slope you found in part A and one of the ordered pairs given. It doesn’t matter which ordered pair you use. The point slope formula is (y – y1) = m(x – x1).

C) Simplify your answer in part B and write the equation in slope-intercept form. Show all work.

Answer 1

what are the given points?

Answer 2

(2,1) and (3,4), sorry

Answer 3

use the slope formula first:
its the difference of the y's over the difference of the x's
so, 4-1 over 3-2
or 3/1
so your slope is 3. That's your m in the point slope form

Answer 4

now take either point and sub in the values for y1 and x1
it does not matter which ordered pair you use - just don't get your x and y mixed up

Answer 5

to get it into slope-intercept form, you'll need to simplify that so that y is by itself and everything else is on the other side of the = sign.
Does that make sense?

Answer 6

would it be (1-1) = 3(3-2)

this is saying that I'm using the (2,1) point

Answer 7

you substitute values for the x1 and y1 ONLY. You must leave in the x and y
so you'll get:
y-1 = 3(x-2)
or
y-4 = 3(x-3)
either one will be correct for part b of your question

Answer 8

and then how do I simplify that ?