The document discusses point-slope form for writing equations of lines. Point-slope form is defined as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a given point on the line. Several examples are shown of writing equations of lines in point-slope form given the slope and a point, or two points to find the slope. Converting between point-slope, slope-intercept, and standard forms is also demonstrated.

1. Do Now:

2. 5.5 Writing Equations in Point-Slope Form Write the equation of a line in point-slope form. Write linear equations in different forms

3. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept

4. The New Stuff… Point- Slope Form Point- Slope form is: Where m is the slope and (x 1, y 1 ) is the given point

5. Point Slope Form Writing Equations of Lines

6. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m (x – x 1 ) Use Point-Slope Form

7. Write the equation of the line with slope ¾ and passing through the point (-5, 3). y – y 1 = m (x – x 1 ) Use Point-Slope Form

8. Write the equation of the line with slope -4/7 and passing through the point (2, -4). y – y 1 = m (x – x 1 )

9. Write the equation of the line passing through the points (-2, 6) and (3, -1). y – y 1 = m (x – x 1 ) Find the slope let's use (3, -1)

10. Write the equation of the line passing through the points (4, 3) and (6, 8). y – y 1 = m (x – x 1 ) Find the slope let's use (4, 3)

11. Write the equation of the line passing through the points (4, -3) and (-7, -1). y – y 1 = m (x – x 1 ) Find the slope let's use (4, -3)

12. Why does the point-slope form work? Find the slope between (x 1 , y 1 ) and (x, y). Reflexive propetry Point-Slope Form

13. Convert y = 3x + 2 to standard form. multiply both sides by -1

14. Convert to standard form. multiply both sides by -4

15. Convert to standard form. multiply both sides by 7

16. Write the equation of the line parallel the line 4x – 5y = 7 that passes through the point (-3, 7) What is the slope of the given line? y – y 1 = m (x – x 1 )

17. Write the equation of the line perpendicular the line 3x + 2y = 9 that passes through the point (2, 5) What is the slope of the given line? y – y 1 = m (x – x 1 )