Title: Slope of A Line What you will learn… To learn what slope is

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Presentation transcript:

Title: Slope of A Line What you will learn… To learn what slope is To learn what a line looks like when it is has positive, negative, zero or undefined slope To learn how to find the slope of a graph To learn how to find the slope when given two points Anne Gilleran

What is slope? Slope is the rate of change of a line Anne Gilleran

What does the line look like when… You have positive slope? You have negative slope? You have zero slope? You have NO slope? Anne Gilleran

Slope Mountain Anne Gilleran Negative slope, - work NO slope. Oh No!!!! Positive slope, + work Zero slope is zero fun! Slope Mountain Anne Gilleran

What Type of Slope is Shown? Positive Slope Negative Slope Zero Slope No Slope/Undefined Anne Gilleran

When given a graph, we can find the slope from the formula: Slope of a Graph When slope is positive or negative we need to find the actual value of the slope or rate of change When given a graph, we can find the slope from the formula: How far up or down it changes How far left or right it changes Anne Gilleran

First pick two points on the line Slope of a Graph First pick two points on the line The points need to be where the lines cross so they are integers/whole numbers (Tip: try to form a triangle) 2. Find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 2 Run = 3 Anne Gilleran

First pick two points on the line Slope of a Graph First pick two points on the line The points need to be where the lines cross so they are integers 2. Then find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 10 Run = 2 Anne Gilleran

Find the slope of each line below Slope of a Graphed Line Find the slope of each line below x y Slopes: 4 4 Anne Gilleran

Slope of line through 2 points To find the slope of a line through 2 given points we use the formula For example, Find the slope of a line that goes through (-3, 5) and (2, 18) -3 5 2 18 X1 y1 X2 y2 Anne Gilleran

Given two points on a line, find the slope: 1. (9, 2), (8, -7) X1 y1 X2 y2 2. (-4, 4), (-7, 2) X1 y1 X2 y2 3. (5, -1), (9, -4) X1 y1 X2 y2 Anne Gilleran

Given two points on a line, find the slope: 4. (5, 2), (1, 0) X1 y1 X2 y2 5. (3, -3), (3, -1) X1 y1 X2 y2 Undefined, NO slope 6. (-4, -2), (4, -2) X1 y1 X2 y2 Anne Gilleran

Task: Homework Further instructions... Complete the worksheet – Slope Activity Worksheet 1 Anne Gilleran

Reflect on your learning: Anne Gilleran Confident Need more practice Reflect on your learning: Not yet there I know what slope is I know what a positive, negative, zero and undefined slope looks like I know how to find the slope of a graph I know how to find the slope when given 2 points Skills I have used: Working with others Managing Information & Thinking Managing Myself Staying Well Communicating Being Creative