Writing Equations of Lines

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Presentation transcript:

Writing Equations of Lines Point Slope Form

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)

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)

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

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)

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)

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)

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

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

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

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

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

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

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)

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)