Slope of a line Prepared by: Mr. Jay Mar Bolajo

Mountain A Mountain B

Guide Questions: What can you say about the two mountains? If you will given a chance to climb a mountain from the two pictures, what will you choose? Why? What part of the mountain makes it difficult to climb?

Values Formation We can associate slope in real life situation. In reaching our dreams we cannot avoid encounter ing some obstacles that will hinder us to achieve our goals. No matter how greater the slope are or the challenges we need to face we must pursue what we want in order to succeed in life. Like what Aristotle shared to us, that in studying, the labor is bitter but the fruit is sweeter.

What is a Slope? Every line has a slope. Slope refers to the steepness of a line. Since the line on the right is steeper, it has a larger slope.

Slope can be positive if the line rises to the right. Slope can be negative if the line rises to the left Slope can be zero if the line is horizontal

Slope can be undefined if the line is vertical

1) Determine the slope of the line. When given the graph, it is easier to apply “rise over run”.

Determine the slope of the line. Start with the lower point and count how much you rise and run to get to the other point! rise 3 = = run 6 6 3 Notice the slope is positive AND the line increases!

Slope Formula Slope is represented by m. To find slope, you need two points on the line. Plug in the coordinates of the first point in for (x1,y1) and the second point as (x2,y2)

Let’s Practice! y2 – y1 = -4 – (-2) = -2 Find the slope of the line that passes through the points (-1,-2) and (-2,-4). y2 – y1 = -4 – (-2) = -2 m = x2 – x1 = -2 – (-1 ) = -1 = 2

Find the slope of the line that passes through (3, 5) and (-1, 4). -4 ¼ -1/4

Find the slope: Given: Point A (2,-3) and Point B (6, 13)

Test III. Find the slope using the slope formula Seatwork: Test I. Fill in the blanks The slope of a vertical line is _______ Slope is the measure of the _______ of the line. Slope can be negative if the line rises to the _____. Slope can be undefined if the line is ___________. Slope can be expressed as the ratio of _____ over run. Test II. Find the slope using the given graph. Test III. Find the slope using the slope formula 1. (5,2) and (-1,-4) 2. (-1,6) and (1,2) 3. (2,12) and (14,3)

In your own words What is a slope? What are the kinds of slope? How do we get the slope of a line? Where do we see slopes?

Where do we see slope? Staircase/Escalators Wheelchair Ramps Ski/Snow/Skateboard Parks Jumps Where do we see slope?

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