Question

Write the equation of the line passing through the points (-6,1) and (-4,2)

Answer 1

Do you know how to find the slope?

Answer 2

Well first find the slope, using the following formula: \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\] where your coordinates represent \[(x_1,y_1)~~\text{and}~~(x_2,y_2)\]
Once you manage to get that, plug in m and your first coordinates in the point - slope form: \[y-y _{1}=m(x-x _{1})\] do some little algebra and eventually you will have slope - intercept form \[y=mx+b\]

Answer 3

so m= 2-1/-4+6

Answer 4

@iambatman

Answer 5

then what

Answer 6

Follow the steps :)

Answer 7

Plug in (x1,y1) for point slope form, leave the x and y alone.

Answer 8

so y-1=m(x+6) ??

Answer 9

@iambatman

Answer 10

or would i solve for M and then put it in y=mx+b form?

Answer 11

@iGreen

Answer 12

Looks good, but now make sure you plug in slope for m, because m = slope :)

Answer 13

how

Answer 14

y-1=m(x+6) you notice the m here, it's your slope the first thing we solved for

Answer 15

man im tellin u i hate who ever makes us do slope in school lol

Answer 16

Haha it's alright :), it's very useful in higher mathematics!

Answer 17

okay so m= 1/2

Answer 18

Looks good, now just make your equation look like y = mx+b form and we're done

Answer 19

so 1=(1/2)-6+b

Answer 20

\[y-1=1/2(x-6) \implies y - 1 = 1/2x-3\]

Answer 21

how the crap did u get that lol

Answer 22

\[y = 1/2x-3+1 \implies y = 1/2x+2\] and now we have equation of the line

Answer 23

Follow the steps I gave you, you were doing good to :)

Answer 24

so my equation is y=1/2x+2

Answer 25

Yup

Answer 26

It should be -2

Answer 27

y=1/2x-2

Answer 28

why didn't we just change x and y into numbers since we knew what they were. and how did u get b lol

Answer 29

We didn't know what they were

Answer 30

x1 is -6 y1 is 1

Answer 31

\[(x_1, y_1) \neq (x,y)\]

Answer 32

ugghh idk i hate math so much

Answer 33

Just go over everything we did, all the information is here, I think you will figure it out

Answer 34

i have been lookin over it the whole time haha still dont understand a thing

Answer 35

Alright lets go over it together then

Answer 36

okay

Answer 37

We have the points \[(-6,1) = (x_1,y_1) ~~~~ (-4,2) = (x_2,y_2)\]

So these points will help us first find the slope, \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} } = \frac{ 2-1 }{ -4+6 } = \frac{ 1 }{ 2 }\] geometrically all a slope is saying is there is a change in coordinates, so something like this lets say