Find the slope, if possible, of the line passing through each pair of points.
(2,-1) and (6, 3)

Question

Find the slope, if possible, of the line passing through each pair of points. 
(2,-1) and (6, 3)

anonymous · Answer

It passes through but I do not understand, can someone explain?

hero · Answer

There are a few ways of finding the slope:

1. Directly (using slope formula)
2. Graphically (using rise/run)
3. Algebraically (using y = mx + b)

anonymous · Answer

algebraically please if you don't mind

hero · Answer

If you want to find it algebraically, you have to insert each point, one at a time, into the equation y = mx + b. Doing that, you'll get

-1 = 2m + b
  3 = 6m + b

anonymous · Answer

Oops I am sorry I have to use the slope formula.

hero · Answer

Okay, then use this slope formula:

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

anonymous · Answer

slope = (y2 - y1)/(x2 - x1)?

anonymous · Answer

slope = (3 - (-1))/(6 - 2)
slope = (3 + 1)/4
slope = 4/4
slope = 1

anonymous · Answer

I think this is right

hero · Answer

Good job. Now, here's a challenge. See if you can figure it out the algebraic way

anonymous · Answer

good golly I want to learn to like algebra

anonymous · Answer

I will try but I have more homework to do.