Do Now From this table below, extend the table to zero, determine rate of change, y-intercept, and equation x y 3 –12 6 –14 9 –16 12 –18 1/17/2019 7:01 AM 4.4 - Finding Slope

Worksheet Key From this table below, extend the table to zero, determine rate of change, y-intercept, and equation x y 3 –12 6 –14 9 –16 12 –18 1/17/2019 7:01 AM 4.4 - Finding Slope

Finding Slope and Rate of Change Chapter 3.4 1/17/2019 7:01 AM 4.4 - Finding Slope

Definitions Ratio: A comparison of two numbers. Linear Equations are equations that the highest power is raised to one. Slope is a non-vertical line between two points Rise is the vertical movement Run is the horizontal movement 1/17/2019 7:01 AM 4.4 - Finding Slope

Slope Equation Slope equation: Rewrite it as: 1/17/2019 7:01 AM 4.4 - Finding Slope

Type of Slopes 1/17/2019 7:01 AM 4.4 - Finding Slope 6

What type of slopes are these graphs? Positive Slope Negative Slope 1/17/2019 7:01 AM 4.4 - Finding Slope 7

What type of slope is this graph? Type of Slopes Zero Slope Horizontal Line What type of slope is this graph? 1/17/2019 7:01 AM 4.4 - Finding Slope 8

What type of slope is this graph? Type of Slopes No Slope/Undefined Vertical Line What type of slope is this graph? 1/17/2019 7:01 AM 4.4 - Finding Slope 9

Video 1/17/2019 7:01 AM 4.4 - Finding Slope

Steps When given two points, create a t-chart Subtract the Y-intercept first from top to bottom Subtract the X-intercept first from top to bottom Reduce the fraction Equation: Known as: 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 1 What is the slope of this table? Will it rise, fall, horizontal, or vertical? 3 – (5) = –2 x y 3 10 5 12 6 13 17 10 – (12) = –2 5 – (6) = –1 12 – (13) = –1 6 – (10) = –4 13 – (17) = –4 1/17/2019 7:01 AM 4.4 - Finding Slope

Create a t-chart & solve for slope Example 2 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? x y –1 3 2 –2 Create a t-chart & solve for slope –1 – (2) = –3 3 – (–2) = 5 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 2 What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 3 What is the slope of these two points, (6, –4) and (2, –2)? Will it rise, fall, horizontal, or vertical? 1/17/2019 7:01 AM 4.4 - Finding Slope

Your Turn What is the slope of these two points, (2, 3) and (–4, 5)? Will it rise, fall, horizontal, or vertical? 1/17/2019 7:01 AM 4.4 - Finding Slope

Zero versus Undefined 4.4 - Finding Slope 1/17/2019 7:01 AM

Undefined Slope 1/17/2019 7:01 AM 4.4 - Finding Slope 18

Create a t-chart & solve for slope Example 4 What is the slope of these two points, (–2, 4) and (4, 4)? Will it rise, fall, horizontal, or vertical? x y –2 4 Create a t-chart & solve for slope –2 – (4) = –6 4 – (4) = 0 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 5 What is the slope of these two points, (3, 5) and (3, 1)? Will it rise, fall, horizontal, or vertical? 1/17/2019 7:01 AM 4.4 - Finding Slope

Your Turn What is the slope of these two points, (0, 4) and (–3, 4)? Will it rise, fall, horizontal, or vertical? 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 6 Find the slope of the line drawn below: 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 7 Find the slope of the line drawn below: 1/17/2019 7:01 AM 4.4 - Finding Slope

Example 8 Find the slope of the line drawn below: 1/17/2019 7:01 AM 4.4 - Finding Slope

Your Turn Find the slope of the line drawn below: 1/17/2019 7:01 AM 4.4 - Finding Slope

Assignment Worksheet 1/17/2019 7:01 AM 4.4 - Finding Slope