The document discusses slope-intercept form of linear equations. It provides examples of finding the x- and y-intercepts of lines and writing equations of lines given slopes and points. Key terms defined include slope-intercept form and examples are given of finding the equation of a line from two points and from a given slope and point.

1. Slope Intercept Form 5.4

2. X Intercept Where the line crosses the x axis Where the line crosses the y axis Y Intercept

3. Find the x and y intercepts. Then graph the functions below. 1. x + y = -2 X -intercept - 0 for y X + 0 = -2 X = -2 (-2, 0) 0 + y = -2 X + y = -2 Y-intercept - 0 for x Y = -2 (0, -2)

4. Find the x and y intercepts. Then graph the functions below. (-2, 0) and (0, -2) x y

5. Find the x and y intercepts. Then graph the functions below. 3. 4x + 5y = 20 X -intercept 4x + 5(0) = 20 4x + 0 = 20 4x = 20 4(0) + 5y = 20 4x + 5y = 20 Y-intercept 0 + 5y = 20 5y = 20 ÷4_ ÷4 x = 5 (5, 0) ÷5 ÷5 y = 4 (0, 4)

6. Find the x and y intercepts. Then graph the functions below. 3. (5, 0) and (0, 4) x y

7. Vocabulary Slope Intercept Form – An equation in the form y = mx + b

8. Slope Intercept Form - Example

9. 4. Write an equation of the line given two points. m = rise run (0, 4) (5, 3) = -1 5 1. Calculate Slope 2. Write Equation Y = mx + b Y = -1 x + 4 5 y x

10. 5. Write an equation of the line given two points. m = rise run (0, 4) (4, -2) = -6 4 1. Calculate Slope 2. Write Equation Y = mx + b Y = -3 x + 4 2 = -3 2 y x

11. Write an equation of a line given the following slope and point. 7. Slope is -4; Point is (-1, 3) Step 1: Identify Slope & Pts m = -4 X = -1 Y = mx + b Step 2: Find y-intercept y = 3 = -4(-1) + b 3 = 4 + b 3 -4 -4 -1 = b Step 3: Write Equation Y = mx + b Y = -4x + -1

12. Write an equation of a line given the following slope and point. 9. Slope is 1/2; Point is (4, 3) Step 1: Identify Slope & Pts m = 1/2 X = 4 Y = mx + b Step 2: Find y-intercept y = 3 = 1/2(4) + b 3 = 2 + b 3 -2 -2 1 = b Step 3: Write Equation Y = mx + b Y = 1/2x + 1

13. Write an equation of a line that passes through the following points. 10. (-2, 5) and (2, -1) Step 1: Identify Slope & Pts slope = rise = y 2 – y 1 = run x 2 – x 1 -1 - 5 = 2 - (-2) x 1 , y 1 x 2 , y 2 -6 = 4 -3 2

14. Write an equation of a line that passes through the following points. 10. (-2, 5) and (2, -1) Y = mx + b Step 2: Find y-intercept 5 = -3/2(-2) + b 5 = 3 + b -3 -3 2 = b Step 3: Write Equation Y = mx + b Y = -3/2x + 2

15. Write an equation of a line that passes through the following points. 11. (1, -2) and (-5,4) Step 1: Identify Slope & Pts slope = rise = y 2 – y 1 = run x 2 – x 1 4 - (-2) = -5 - 1 x 1 , y 1 x 2 , y 2 6 = -6 -1

16. Write an equation of a line that passes through the following points. 11. (1, -2) and (-5,4) Y = mx + b Step 2: Find y-intercept -2 = -1(1) + b -2 = -1 + b +1 +1 -1 = b Step 3: Write Equation Y = mx + b Y = -1x + -1