Aim: What is slope and how do we find it? Do Now: What does slope mean? How do we find it? New Unit! Yay! ^_^

What is Slope? The word slope (gradient, incline, pitch) is used to describe the measurement of the steepness of a straight line. The letter in math used for slope is m. You can think of it as the move.

Slope Formula (x𝟏, y𝟏) (x𝟐, y𝟐) Slope = 𝒓𝒊𝒔𝒆 𝒓𝒖𝒏 = 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙 = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏

To find the slope of a line Select any two points on the line. Find the vertical change (rise). Find the horizontal change (run). Write the ratio of the rise to the run. You can also check by counting the lines!~

Slope = 𝟐−(−2) 𝟐 −(−𝟏) Slope = 𝟒 𝟑 Points (-1,-2) and (2,2) Let’s find the slope. Points (-1,-2) and (2,2) (x1, y1) and (x2 , y2) Slope = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 Slope = 𝟐−(−2) 𝟐 −(−𝟏) Slope = 𝟒 𝟑

Find the slope! m = 𝟒 −𝟐 = - 2 m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 m= 𝟐−(−2) 𝟏 −𝟑 One more together! Find the slope! m = 𝒚𝟐−𝒚𝟏 𝒙𝟐−𝒙𝟏 m= 𝟐−(−2) 𝟏 −𝟑 m = 𝟒 −𝟐 = - 2

Complete Slope Worksheet! What do you notice about the lines and their slopes?

Positive, negative, zero and undefined slope Positive slope As points move from left to right along a line that is rising, y increases and x increases and the slope of the line is positive. Have students sketch it.

Negative slope As points move from left to right along a line that is falling, y decreases as x increases and the slope of the line is negative.

If a line is parallel to the x- axis, its slope is zero. Zero Slope If a line is parallel to the x- axis, its slope is zero. The equation is written as y=

If a line is parallel to the y- axis, it’s slope is undefined. Undefined Slope If a line is parallel to the y- axis, it’s slope is undefined. The equation is written as x =

Positive, negative, zero and undefined slope

Textbook Page 361 # 3-8

Exit Slip Find the slope and determine whether it is positive, negative, zero or undefined. (3,0) and (4,2)