The document provides examples and practice problems for writing equations of lines in slope-intercept form (y=mx+b) by given the slope and y-intercept or two points on the line. It demonstrates how to find the slope from two points, the y-intercept from the slope and a given point, and how to write the final equation. Multiple examples are worked through step-by-step for writing equations of lines from their graphs, slopes, y-intercepts and point pairs.

1. 5.4 Slope Intercept Form Part B Practice

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

3. Give the coordinates of the point where each line crosses the y-axis. Y = 3x + 4 - insert 0 for x y = 3(0) + 4 y = 0 + 4 y = 4 (0, 4) 2. y = 2x - 3 y = 2(0) - 3 y = 0 - 3 y = -3 (0, -3)

4. Give the coordinates of the point where each line crosses the y-axis. 3. y = 1/2x y = 1/2(0) y = 0 (0, 0) 4. y = 2 - x y = 2 - 0 y = 2 (0, 2)

5. Write an equation for each line. 5. y = mx + b Slope = 4 2 B = y-intercept b = 4 y = mx + b y = 2x + 4 = 2

6. Write an equation for each line. 6. y = mx + b Slope = - 2 4 B = y-intercept b = -2 y = mx + b y = -1/2x - 2 = -1 2

7. Write an equation for each line. 7. With a slope of 2 and a y-intercept of 4 y = mx + b y = 2x + 4 8. With a slope of -3 and a y-intercept of 1 y = mx + b y = -3x + 1

8. Write an equation for each line. 9. Through (0, -4) and with a slope of 2 y = mx + b y = 2x - 4 10. Through (0, 6) and with a slope of 1/2 y = mx + b y = 1/2x + 6

9. Write an equation for each line. 11. With a slope of -3/4 and a y-intercept of -3 y = mx + b y = -3/4x - 3 12. Through (0,1) and with a slope of 1.5 y = mx + b y = 1.5x + 1

10. Write an equation for the line containing each pair of points. (3, 8), (2, 6) Step 1: Identify slope and points slope = rise = y 2 – y 1 = run x 2 – x 1 6 - 8 = 2 - 3 x 1 , y 1 x 2 , y 2 -2 = -1 2

11. Write an equation for the line containing each pair of points. 13. (3, 8), (2, 6) slope = 2 Y = mx + b Step 2: Find y-intercept 8 = 2(3) + b 8 = 6 + b -6 -6 2 = b Step 3: Write Equation Y = mx + b Y = 2x + 2

12. Write an equation for the line containing each pair of points. 14. (0, -6), (-3, 3) Step 1: Identify slope and points slope = rise = y 2 – y 1 = run x 2 – x 1 3 - (-6) = -3 - 0 x 1 , y 1 x 2 , y 2 9 = -3 -3

13. Write an equation for the line containing each pair of points. 14. (0, -6), (-3, 3); slope = -3 Y = mx + b Step 2: Find y-intercept -6 = -3(0) + b -6 = 0 + b -6 = b Step 3: Write Equation Y = mx + b Y = -3x - 6

14. Write an equation for the line containing each pair of points. 15. (-2, -4), (5, -1) slope = rise = y 2 – y 1 = run x 2 – x 1 -1 - (-4) = 5 - (-2) x 1 , y 1 x 2 , y 2 3 7

15. Write an equation for the line containing each pair of points. 15. (-2, -4), (5, -1), slope: 3/7 Y = mx + b Step 2: Find y-intercept -4 = 3/7(-2) + b -4 = -6/7 + b -22 = b 7 Step 3: Write Equation Y = mx + b Y = 3 x - 22 7 7 +6/7 = +6/7

16. Student Study Guide Y = -7x + 5 Y = -5/8 + 2 Y = -4x + 9 Y = 2/5x - 8 Y = 1/5x - 1

17. Write an equation for the line containing each pair of points. 16. (-1, -2), (-3, -4) Step 1: Identify slope and points slope = rise = y 2 – y 1 = run x 2 – x 1 -4 - (-2) = -3 - (-1) x 1 , y 1 x 2 , y 2 -2 = -2 1

18. Write an equation for the line containing each pair of points. 16. (-1, -2), (-3, -4), slope: 1 Y = mx + b Step 2: Find y-intercept -2 = 1(-1) + b -2 = -1 + b -1 = b Step 3: Write Equation Y = mx + b Y = x - 1 +1 = +1