1. MFM 2P Minds On Integer Review! Calculate the following without using a calculator.

2. MFM 2P Learning Goal: I can determine slope (m) of a line given two points I can determine the equation of a line given two points Lesson 3 – Calculating Slope and the Equation of a Line

3. MFM 2P Lesson 3 – Calculating Slope and the Equation of a Line Determine the equation of this line.

4. MFM 2P When we find the rise on the graph, we are really looking at the difference between two y values on the line: Rise = y 2 – y 1 ● ● When we find the run on the graph, we are really looking at the difference between two x values on the line: Run = x 2 – x 1 Lesson 3 – Calculating Slope and the Equation of a Line

5. MFM 2P ● ● Lesson 3 – Calculating Slope and the Equation of a Line

6. MFM 2P Calculate the slope of the line that passes through these two points: (3, -4) and (0, 3) Calculate the slope of the line that passes through these two points: (6, -2) and (4, 14) Lesson 3 – Calculating Slope and the Equation of a Line

7. MFM 2P Calculate the slope of the line that passes through the points (0, 5) and (-3, 6) Lesson 3 – Calculating Slope and the Equation of a Line

8. MFM 2P Calculate the slope of the line that passes through the points (2, -2) and (1, 4) Lesson 3 – Calculating Slope and the Equation of a Line

9. MFM 2P Calculate the slope of the line that passes through the points (0, 0) and (8, 1) Lesson 3 – Calculating Slope and the Equation of a Line

10. MFM 2P Calculate the slope of the line that passes through the points (-3, -5) and (-4, -3) Lesson 3 – Calculating Slope and the Equation of a Line

11. MFM 2P Once we know the slope of the line, how can we calculate the y-intercept? (b) y = mx + b Step 1: Sub in what we know - Coordinates of x and y and the slope Step 2: Solve for “b” Lesson 3 – Calculating Slope and the Equation of a Line

12. MFM 2P Calculate the y-intercept, “b” of a line that passes through the point (1, 4) and has a slope of 2. What is the equation of this line? Lesson 3 – Calculating Slope and the Equation of a Line

13. MFM 2P Put it all together. Determine the equation of a line that passes though the points (4, -5) and (-2, -3). Put it all together. Determine the equation of a line that passes though the points (7, 1) and (0, -9). Lesson 3 – Calculating Slope and the Equation of a Line