Question

Write an equation in point-slope form for the line through the given point with the given slope.
(8, 3); m = 6
A. y + 3 = 6(x-8)
B. y - 3 = 6 (x -8)
C. y - 3 = 6(x + 8)
D. y + 3 = 6x + 8
@rebeccaxhawaii

Answer 1

use the template y - y0 = m(x-x0)

where m = slope, x0 = your x-coordinate and y0 = your y-coordinate

Answer 2

Hey I got to go I will be back tonight thanks for all the help today.

Answer 3

What do you mean?

Answer 4

@Vocaloid

Answer 5

How much do you know about the equation of a line.

Answer 6

Nothing xD

Answer 7

I doubt it. You don't get to this kind of problem knowing nothing.

What does slope _mean_? What's the slope in this problem?

Answer 8

What? I dont know it...

Answer 9

Almost always, slope will be represented by 'm'.

Two or three problems ago, @rebeccaxhawaii gave you the formula for the slope of a line. You even said you were writing it down.: http://openstudy.com/users/mellamokatie#/updates/57478ddfe4b064779b120444

You should also have learned that slope is a measure of how "steep" a line is.

Answer 10

Yeah I wrote it down I have it here I didnt know how I would use that in the formula

Answer 11

point slope form= y-y1=m(x-x1)

Answer 12

@Throneofbooks , were working on getting there.

Answer 13

yeah

Answer 14

@MellamoKatie , sorry, I was trying to draw you a picture about slope.

We can work with @Throneofbooks formula, though. One sec

Answer 15

Oh okay thanks anyway

Answer 16

Yes I know that so what would I plug in?

Answer 17

If we have two points (x1,y1) and (x2,y2), we just plug them in and find m, the slope.

This is a basic formula, math people work out different equations from this one.

Answer 18

We have to change it up for your problem: One sec.

Answer 19

oh okay

Answer 20

In your problem, we _knjow_ the slope m and 1 point. So I am going to change the LABELS in that equation, then show you where to put your numbers.

Answer 21

Oh great that's what I need help with ! :D

Answer 22

The problem asks for "point-slope form". All we do is use algebra to move around the pieces of the formula. Here it is with variables instead of numbers:\[m = \frac{ (x - x _{1}) }{ (y - y _{1}) }\]
\[m * (y - y _{1}) = (x - x _{1})\]

Answer 23

Shoot, I wrote your formula wrong. Go take a break, and I'll fix it

Answer 24

Slope is the change in y divided by the change in x. Like a protractor or a compass, it is a different way to measure the direction or angle a line makes.

\[m = \frac{ (y _{2} - y _{1}) }{ (x _{2} - x _{1}) }\]

Answer 25

\[m = \frac{ (y _{2} - y _{1}) }{ (x _{2} - x _{1}) }\]
\[m = \frac{ (y - y _{1}) }{ (x - x _{1}) }\]

Now, x-without-subscript is a variable -- we don't know what it is, so we just leave it as 'x' and the same for 'y'. But we know 'm', and (x1,y1), right.
Go ahead and put them in, and tell me your equation.

Answer 26

Wait there is only (8, 3) there is not 2

Answer 27

The problem asks for "point-slope form". All we do is use algebra to move around the pieces of the formula. Here it is with variables instead of numbers:\[m = \frac{ (y - y _{1}) }{ (x - x _{1}) }\]
\[m (x - x _{1}) = (y - y _{1})\]

Answer 28

So (8, 3); m = 6 goes into
6(8-8) = (3 - 3)??

Answer 29

You said "Wait there is only (8, 3) there is not 2"
Correct. The formula has five missing items: m, x, x1, y, y1
We know three things: m, x1, and y1
We are going to leave 'x' and 'y' as 'x' and 'y' for two reasons. A: All the answers have x and y in them, and B: EVERY equation of a LINE needs x and y

Answer 30

Does it make sense now?

Answer 31

Yes it does I think thank you!

Answer 32

So, what was your answer?

Answer 33

B?

Answer 34

@mjdennis

Answer 35

Hey! I just need someone to say yes B or no B

Answer 36

@rebeccaxhawaii Are you there?

Answer 37

You got it.

Answer 38

You can tell if I am online if you hover over my name on any post