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Parallel & Perpendicular Lines in coordinate Geometry

Parallel & Perpendicular Lines in coordinate Geometry . What types of slopes do parallel lines have? What types of slopes do perpendicular lines have? . Parallel lines have the same slope. Perpendicular lines have slopes that are opposite reciprocal.

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Parallel & Perpendicular Lines in coordinate Geometry

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  1. Parallel & Perpendicular Lines in coordinate Geometry • What types of slopes do parallel lines have? • What types of slopes do perpendicular lines have?

  2. Parallel lines have the same slope. • Perpendicular lines have slopes that are opposite reciprocal.

  3. Answer the following questions with your group members • What is the slope of a line parallel to y = 3x – 7? • What is the slope of a line perpendicular to y = -2x + 6? • What is the slope of a line parallel to y = 9? • What is the slope or a line perpendicular to y = -x/5 + 11

  4. Find the equation of a line that is parallel to the line y = -7x + 4 and passes through the point (-4, 6)

  5. STEP ONE • Identify the slope and point • Slope is -7 • Point is (-4, 6) If we have a point and a slope, what form of an equation do we need to use?

  6. STEP TWO • Plug into point – slope form • y – y1 = m(x – x1) • y – 6 = -7(x – -4)

  7. STEP THREE • Finish by putting equation into slope-intercept form • y – 6 = -7(x – -4) • y – 6 = -7(x + 4) • y – 6 = -7x – 28 • y = -7x – 22

  8. Find the equation of a line that is perpendicular to the line y= 3x – 9 and passes through the point(-1, 8)

  9. STEP ONE • Identify the slope and point • Slope is • Point is (-1, 8) If we have a point and a slope, what form of an equation do we need to use?

  10. STEP TWO • Plug into point – slope form • y – y1 = m(x – x1) • y – 8 = (x – -1) • y – 8 = x –

  11. STEP THREE • Finish by putting equation into slope-intercept form • y– 8 = (x – -1) • y – 8 = (x + 1) • y – 8 = x – • y = x +

  12. TRY ON YOUR OWN!!! • Find the equation of a line that is perpendicular to the line y = -2x – 9 and passes through the point (-4, 6) • Find the equation of a line that is parallel to the line y= 3x + 5 and passes through the point (-9, 1)

  13. TIME TO PROCESS WHAT YOU LEARNED • THINK TO YOURSELF!!! • Think of a three word statement that sums up something you learned from this lecture. • DO NOT SAY IT OUT LOUD!!! • We will go around the room and share in two minutes

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