Linear graph[1]edit
- 1. 27/01/2015 Presented By J. Mills-Dadson 1 Linear Graphs Objectives: by the end of the lesson, students should be able to: generate coordinate pairs that satisfy a simple linear rule plot the graphs given explicitly in terms of x. Success Criteria: students should be able to generate coordinate pairs from E.g.: y = 2x Keywords: substitute, intercept, gradient, origin, parallel
- 2. 27/01/2015 Presented By J. Mills-Dadson 2 Linear Graphs Linear graphs are straight lines The rule connecting x and y coordinates is of the form y = mx + c ‘m’ is the gradient : how flat or how steep the graph should be ‘c’ is the intercept: where the graph crosses the y-axis The meeting points of the x - axis and y – axis is called the origin
- 3. 27/01/2015 Presented By J. Mills-Dadson 3 Linear Graphs x 0 1 2 3 y 1) Let us start with simple rule, y = x 0 1 2 3 x 0 1 2 3 y 2) Now let’s y = x + 2 2 3 4 5 x 0 1 2 3 y Now let’s y = 2x + 2 2 4 6 8 Let’s plot the coordinates of the first two rules on one grid. y 1 0 9 8 7 6 5 4 3 2 1 x0 432-3 -2 -1 1 5 -1 -2 -3 y 1 0 9 8 7 6 5 4 3 2 1 x0-3 -2 -1 1 2 3 4 5 -1 -2 -3 Join the points to draw the graph
- 4. 27/01/2015 Presented By J. Mills-Dadson 4 Linear Graphs x 0 1 2 3 y 2) Now let’s y = x + 2 2 3 4 5 x 0 1 2 3 y Now let’s y = 2x + 2 2 4 6 8 Let’s plot the coordinates of the These two rules on one grid. y 1 0 9 8 7 6 5 4 3 2 1 x0 432-3 -2 -1 1 5 -1 -2 -3 y 1 0 9 8 7 6 5 4 3 2 1 x0-3 -2 -1 1 2 3 4 5 -1 -2 -3 Join the points to draw the graph What can you say about the slope and where the cross the y – axis?