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# 5.5 Linear Equations Point Slope Form

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### 5.5 Linear Equations Point Slope Form

1. 1. Do Now:
2. 2. 5.5 Writing Equations in Point-Slope Form <ul><li>Write the equation of a line in point-slope form. </li></ul><ul><li>Write linear equations in different forms </li></ul>
3. 3. What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept
4. 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. 5. Point Slope Form Writing Equations of Lines
6. 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. 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. 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. 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. 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. 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. 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. 13. Convert y = 3x + 2 to standard form. multiply both sides by -1
14. 14. Convert to standard form. multiply both sides by -4
15. 15. Convert to standard form. multiply both sides by 7
16. 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. 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 )