This document discusses linear equations and slope-intercept form. It provides examples of: 1) Finding the slope and y-intercept of linear equations in slope-intercept form like y = 4x + 2. 2) Writing equations of lines given the slope and y-intercept, such as an equation with m = 3 and y-intercept of 7. 3) Finding the slope and y-intercept from two points on a line, then writing the equation in slope-intercept form.

1. Bell Ringer Evaluate each expression. 1) .25x + 2 for x = 16 2) -2x – 5 for x = 3 Solve each equation for y. 3) y – 5 = 4x 4) 2y + 6 = -8x

2. What is a linear equation ? An equation whose graph is a line. Slope-Intercept Form

3. What is a y – intercept ? Where the line crosses the y – axis. Slope-Intercept Form y = m x + b where m = slope b = y-intercept

4. Slope-Intercept Form y = m x + b What is the slope and y-intercept of: y = 4x + 2 y = -2x - 1

5. What is the slope and y-intercept of: y = 3x – 5 y = -2x y = 4/5x + 5 You try!

6. Write an equation of the line with: m = 3 and y-intercept of 7 m = -1 and y-intercept of -2

8. (0,2) and (4,-1) y-intercept is 2

9. (-2,2) and (4, 4) y-intercept is -2

10. Find the slope given your two points. Then write an equation in slope-intercept form using the y-intercept. (-1,5) and (3,-3) y – intercept: 0 You try! (3,2) (4,6) y – intercept: 1

11. Graphing with slope-intercept form. y = 3x – 1 m = b = Your y-intercept can be written as an ordered pair.

12. Graphing with slope-intercept form. y = x – 3 m = b = You try! y = -1/2x + 2 m = b =

13. Homework