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Mathematics 8 Online
22west:

–3x+4

Shadow:

This is an expression. Do you have a question relating to this expression?

22west:

Graph y=–3x+4 .

Shadow:

Do you know that slope intercept form is?

22west:

Not really

Shadow:

It looks like this: \[y = mx + b\] Where m is the slope and b is the y intercept

Shadow:

So if the slope is 1, then the rise is 1 and the run is 1, and if the intercept is 5, then the line would intersect the y axis at 5.

Shadow:

Because 1 = 1/1

22west:

Youre better than my math teacher

Shadow:

If the slope were 2, the rise would be 2 and the run would be 1, since 2 = 2/1. A negative example: -1 The slope would rise (go down) by 1, then run by 1.

Shadow:

Since -1 = -1/1

22west:

But the slope is 3 right?

Shadow:

Negative three

22west:

So what would be the y?

Shadow:

the y intercept?

22west:

Yeah

Shadow:

y = mx + b b is the y intercept

Shadow:

So what is the y intercept for this line?

22west:

4?

Shadow:

Correct

Shadow:

So where would your line intersect the y axis at?

Shadow:

By the way, intersect means to cross. And the y axis is the vertical one (up and down), x axis is left to right (horizontal).

22west:

Okay so it would be (-3,4)?

Shadow:

What is that coordinate supposed to be?

22west:

What do you mean?

22west:

-3 is the x and 4 is the y

Shadow:

Let me give you an example. http://prntscr.com/kzk8up This is the line y = -2x + 2

Shadow:

Because the y intercept is 2, so it intercepts the y axis at 2, then it rises (goes down, since it is negative) by 2 then runs by 1, since -2 = -2/1 Slope is rise/run

22west:

Okay so the rise is 3 correct?

Shadow:

What sign does the 3 have?

22west:

Sorry -3

Shadow:

So what would be the rise, would it go up or down

22west:

Down because it is negative

Shadow:

By how many units does it go down?

22west:

3

Shadow:

Then how many units does it run by?

22west:

4?

Shadow:

Remember the slope is rise over run. What is another way to write -3?

Shadow:

I gave examples of it above.

22west:

3//1?

Shadow:

Correct, but remember the negative sign. So what would be the run?

22west:

-3/1

Shadow:

Slope is rise/run, so what would be the run?

22west:

4?

22west:

I'm confused a balls

Shadow:

If the rise is -3, then what must the run be?

Shadow:

Look at what you just wrote

Shadow:

-3/1

22west:

Okay

Shadow:

\[Slope = m = \frac{ Rise }{ Run } = -3 = \frac{ -3 }{ 1 }\]

Shadow:

Maybe that will help give you some perspective.

22west:

I'm stupid the run would be 1 correct?

Shadow:

Correct

Shadow:

And the y intercept is 4, so that is where you would start drawing the line.

22west:

Rise is 3 run is 1

Shadow:

Yes, just remember the negative sign

22west:

Socorro would be(-3,1) and (4,1)?

Shadow:

You would be surprised how often this can impact your calculations in many other levels of math. Best to make a practice of it here in algebra.

22west:

Okay thank you good sir

Shadow:

How did you get those points?

Shadow:

*coordinates

22west:

So justx(-3,1)

Shadow:

http://prntscr.com/kzkcq3 That is where your (-3,1) and (4,1) are. If you were to draw a line through those points, the slope would be 0 since it is not rising.

22west:

I think I got it now

22west:

(-3,1) and (4,0) right?

Shadow:

hmm

Shadow:

It sounds like you are guessing, since you haven't explained how you are getting these numbers.

22west:

I'm kind of guessing but I'm also trying to do it correct

Shadow:

Let me show you a step by step of how you would graph something simple.

Shadow:

http://prntscr.com/kzkdy0

22west:

Brb

22west:

Back

Shadow:

http://prntscr.com/kzkeid

Shadow:

Let me know if you can see those screenshots

22west:

yeah i can see them

22west:

Okay thank you

Shadow:

Once you have two points, you can draw a line. The y intercept is always the first point, and easy one. In this example it is at (0,1). Then we draw the second point from the slope, which is a rise of 2 up and a run of 1 to the right. We get our second point at (1,3)

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