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Writing Equations of Lines

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Presentation on theme: "Writing Equations of Lines"— Presentation transcript:

1 Writing Equations of Lines
Point Slope Form

2 Write the equation of the line with slope 3 and passing through the point (1, 5).
Use Point-Slope Form y – y1 = m(x – x1)

3 Write the equation of the line with slope ¾ and passing through the point (-5, 3).
Use Point-Slope Form y – y1 = m(x – x1)

4 Write the equation of the line with slope -2/3 and passing through the point (2, -4).
y – y1 = m(x – x1)

5 Find the slope let's use (3, -1)
Write the equation of the line passing through the points (-2, 6) and (3, -1). Find the slope y – y1 = m(x – x1) let's use (3, -1)

6 Find the slope let's use (4, 3)
Write the equation of the line passing through the points (4, 3) and (6, 8). Find the slope y – y1 = m(x – x1) let's use (4, 3)

7 Find the slope let's use (4, -3)
Write the equation of the line passing through the points (4, -3) and (-7, -1). Find the slope y – y1 = m(x – x1) let's use (4, -3)

8 Why does the point-slope form work?
Find the slope between (x1, y1) and (x, y). Reflexive propetry Point-Slope Form

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

10 Convert y = 6776x to standard form.
multiply both sides by -4

11 Convert y = 6776x to standard form.
multiply both sides by 7

12 Convert y = 6776x to standard form.
multiply both sides by -2

13 Convert y = 6776x to standard form.
multiply both sides by 15

14 What is the slope of the given line?
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 – y1 = m(x – x1)

15 What is the slope of the given line?
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 – y1 = m(x – x1)


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