Please Help Me Out!?

Question

Find the slope of the line through each set of points.
1. (4,6), (2,-1)

This is what I got:
6=2(4)+b
6=8+b
-8 -8
______
-2 0
-2=b:Answer

Am I'm right? If not please explain why. Thanks for all your help.

Answer 1

I don't understand your work.
The slope is (y2-y1)/(x2-x1)

so (-1-6)/(2-4)
or -7/-2
or 7/2

There was only one set of points.

Answer 2

No, you're mixing up simple slope, change in y over change in x, with the process of finding the entire equation of the line through those points, for which finding slope is just the first step.

So with (4,6) and (2,-1), subtract y's, -1-6=-7, and subtract x's, 2-4=-2, and get slope -7/-2 = 7/2.

To get the equation of the line, THEN you solve
y = (7/2)x + b with (4,6) plugged in for x and y.
6 = (7/2)(4) + b
6 = 14 + b
-8 = b
So y = (7/2)x - 8

Answer 3

Well the slope would be the letter m. Y=mX+b. Use the formula
m=(y2-y1)/(x2-x1) m=(-1-6)/(2-4)m=-7/-2 m=7/2

Answer 4

slope = (-1-6)/(2-4) = -7/-2 = 7/2
eq. of line: y-6 = (7/2)(x-4) .

Answer 5

The slope of a line is the difference in the y-values divided by the difference in the x values.
The difference in the y-values is -1 - 6 = -7
The difference in the x-values is 2 - 4 = -2
Now divide them
-7 / -2
SImplify.
7/2
The slope is m = 7/2

Answer 6

To find the slope, use (y2-y1)/(x2-x1).

So, 6-(-1) / (4-2) = 7 / 2 = 3.5

Answer 7

Uhm, i think that your answer is right, the way to check it, as you know
6=8+b
6=8+-2
8+(-2)= 6, so you are right.

Answer 8

yup, it is, well jw did u get that name from the movie?