Slope

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This page exists to help you kill  S l oP Es! ======

**PART 1.** What is the slope?

In mathematics, the slope describes **steepness, incline, or grade**. A higher slope value indicates a steeper incline. The slope is defined as the ratio of the "rise" divided by the "run" ( like ) between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (//x//1,//y//1) and (//x//2,//y//2) on a line, the slope //m// of the line is

Frome. http://en.wikipedia.org/wiki/Slope **PART 2.** Slope example 

Hard to **__understand__** right? okay, i will give you two points. (1,2) and (3,4) and let's use that equation to find the slope of (1,2) and (3,4)

[[image:http://upload.wikimedia.org/math/9/d/9/9d9e1aa5fab25d8dd659c0fb6e83234b.png width="113" height="42"]] so **4 - 2 = 2 ** and **3 - 1 = 2 **
So the //slope// of this two point //** is **// 2/2 = 1

Let's take a look at one more questions~

(2,5),(6,3)

y2 = 3, y1 = 5 x2 = 6, x1 = 2



-2/4 = -1/2

So the answer is

**PART 3.** How to draw a graph
First, you have to know a slope-intercept form of linear equation.

You already learned that m is equal to slope. But you don't know what is 'b'. b represents

It's really easy to draw a graph by using slope But you cannot just draw a graph by using slope if there is y - intercept.

Let's take a look at the

y = 3x + 1

I drew the nice graph.

Now, what should we do? okay, first, you have to take a look at y - intercept. What is y - intercept about y = 3x + 1?

Yes, is the y - intercept of equation y = 3x + 1.



I marked 1 on y - axis. and now, you have to use slope to finish this graph!

3 = 3/1 So you have to move your dot 3 up. and 1 right. you remember right?



So i will move the point. 3 up and 1 right.



I **finished** the graph~!

Let's play a game!

[|click! slope game !]

media type="youtube" key="f4PsSbyKAAU" height="385" width="480" //**T**// i __p__  T i p **!** 

If the slope (m) absolute value is big, it is close to y - axis. For example, y = -4x is closer to y - axis than y = 2x.



media type="youtube" key="hXP1Gv9IMBo" height="385" width="480"

//Practice questions//

1) Find the slope

- (5,3)(4,8)

2) True or False (if it is wrong, find the correct answer)

- (3,4)(8,9)

slope is -1. True or false, if it is wrong, tell me the correct answer.

3) Find the slope

- (-1,- 4),(4,7)

4) Find the missing value r (m is a slope)

- (6,r)(10,7), if m = 5

5) Find the missing value r ( m is a slope)

- (3,5)(r,10) if m = 1

Check your answers here Thank you