Finding the Slope of a Line Unit 7.02

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Presentation transcript:

Finding the Slope of a Line Unit 7.02 Given Two Points Finding the Slope of a Line Unit 7.02 I can calculate the slope of a line when given 2 points

Background Review In the point (4, 2) the 2 is the ___________. A) x-coordinate B) y-coordinate C) z-coordinate D) Slope ✔

Background Review In the point (-2, 8) the -2 is the ___________. A) x-coordinate B) y-coordinate C) z-coordinate D) Slope ✔

Background Review Which axis is used for the run of a line? A) x-axis B) y-axis C) the equator D) z-axis ✔

Background Review Which axis is used for the rise of a line? A) x-axis B) y-axis C) the equator D) z-axis ✔

Slopes should always be represented What is slope? Rise Run Slope = Remember: Slopes should always be represented as a reduced fraction.

The Slope Triangle Rise Run Change in y Change in x Slope = = To understand the slope formula, we need to look at the slope triangle. From the triangle, we can see we need two points on the line in order to find the slope. The slope is the comparison of the change in y to the change in x. Rise Run Change in y Change in x Slope = =

“Change” is Subtraction The term change in math means to subtract. The slope can also be represented using: The Slope Formula:

Constant Rate of Change Put it all together! Unit Rate Constant Rate of Change Rise Run Change in y Change in x

Setting up the formula Example: To find the slope of the line passing through the points: (x1, y1) (x2, y2) (3, 2) (5, 8) Let’s set up the formula!

Let’s Practice! Find the slope of a line through the points (2, 3) (5, 8) Find the slope of a line through the points (5, 4) (-2, 8) 1) 2)

Let’s Practice! Find the slope of a line through the points (1, -9) (-2, 0) Find the slope of a line through the points (1, 3) (-5, -6) 3) 4)

Let’s Practice! Find the slope of a line through the points (2, 6) (-3, 3) Find the slope of a line through the points (-3, 4) (0, 3) 5) 6)

Let’s Practice! Find the slope of a line through the points (4,-8) (-1,2) Find the slope of a line through the points (5,9) (3,2) 7) 8)

I can calculate the slope of a line when given 2 points. Homework Time!  More Slope Please! WS I can calculate the slope of a line when given 2 points.