1. Introduction to Linear Functions 3.1/3.2 And Properties of Linear Function Graphs

2. Three forms for linear equations 1. Slope-intercept: y = mx + b What does the m represent? The b? 2. Point-slope: (y - y 1 ) = m(x - x 1 ) What does the m represent here? What is the “point?” 3. General: Ax + By = C, where A, B, and C are integers. 1. Slope-intercept: y = mx + b What does the m represent? The b? 2. Point-slope: (y - y 1 ) = m(x - x 1 ) What does the m represent here? What is the “point?” 3. General: Ax + By = C, where A, B, and C are integers.

3. Slopes What is the slope of the line that passes through the points (8, 2) and (-5, -1)?

4. Intercepts These are the points at which the line crosses the x- and y-axis. The x-intercept is where it crosses the x-axis. For this point, y = 0. The y-intercept is where it crosses the y-axis. For this point, x = 0. These are the points at which the line crosses the x- and y-axis. The x-intercept is where it crosses the x-axis. For this point, y = 0. The y-intercept is where it crosses the y-axis. For this point, x = 0.

5. Identify the slope and intercepts of the following lines Slope x-intercepty-intercept (y = 0) (x = 0) y = x +4 y = 2x + 4 y = -3x - 5 y = 5x - 1 Slope x-intercepty-intercept (y = 0) (x = 0) y = x +4 y = 2x + 4 y = -3x - 5 y = 5x - 1

6. Graphing Lines Using the slope-intercept form, you can graph lines quickly. Start by graphing the intercept, then use the slope to count up and over for a second point. Finally, connect the dots to graph the line.

7. Quickly graph the following y = -2x + 5 y = 2/3 x - 4 y = -3/4 x + 6

8. Graphing Lines with Other Forms You can quickly graph lines with equations not in slope-intercept form. Equations in point-slope form graph the same as slope intercept, but use the point given in the equation. Try it with y - 4 = 3(x + 2). What is the point given here? You can quickly graph lines with equations not in slope-intercept form. Equations in point-slope form graph the same as slope intercept, but use the point given in the equation. Try it with y - 4 = 3(x + 2). What is the point given here?

9. Graphing Lines with Other Forms You can quickly graph lines with equations not in slope-intercept form. For equations in general form, rewrite them into slope- intercept and graph. Try it with 5x + 7y = 14. What are the slope and y- intercepts? You can quickly graph lines with equations not in slope-intercept form. For equations in general form, rewrite them into slope- intercept and graph. Try it with 5x + 7y = 14. What are the slope and y- intercepts?

10. Graphing Lines with Other Forms If you determine the two intercepts of a line, you can graph and connect them. This is another useful technique for equations in general form, especially when the coefficients are multiples of the same number. Try is with 3x + 9y = 18. What are the intercepts? Graph the line. If you determine the two intercepts of a line, you can graph and connect them. This is another useful technique for equations in general form, especially when the coefficients are multiples of the same number. Try is with 3x + 9y = 18. What are the intercepts? Graph the line.

11. Vertical and Horizontal Lines Give the slopes and intercepts for the following lines: y = 5x = 3/5 x = -8y = - 11 Give the slopes and intercepts for the following lines: y = 5x = 3/5 x = -8y = - 11