Module 5 topic 2 2nd

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Module 5 topic 2 2nd

  1. 1. Module 5 Topic 2<br />More – Parallel and Perpendicular Slopes<br />
  2. 2. Example 1<br />Write the equation of a line in slope-intercept form that is parallel to y = -4x + 3 and passes through (8, -8). <br />y = -4x + 3 the slope is -4 so the perpendicular slope is 1/4.<br />y = mx + b<br />-8 = 1/4(8) + b<br />-8 = 2 + b<br />-10 = b<br />y = 1/4x - 10<br />
  3. 3. Example 2<br />Similar Problem: Write the equation of a line in slope-intercept form that is parallel to 3x + y = 9 and passes through (0, 4). <br />3x + y = 9 (solve for y).<br />y = -3x + 9 slope is -3 so the parallel slope is also -3. <br />y = mx + b<br />4 = -3(0) + b<br />4 = b<br />y = -3x + 4<br />
  4. 4. Example 3<br />Similar Problem: Write the equation of a line in slope-intercept form that is perpendicular to y = -3/4 x + 3 and passes through (18, -6).<br />y = -3/4 x + 3 slope is -3/4 so the perpendicular slope is 4/3<br />y = mx + b<br />-6 = (4/3)(18) + b<br />-6 = 24 + b<br />-30 = b<br />y = 4/3 x - 30 <br />
  5. 5. Example 4<br />Similar Problem: Write the equation of a line in slope-intercept form that is perpendicular to 4x + 3y = 12 and passes through the point (5, 0).<br />4x + 3y = 12 (solve for y)<br />3y = -4x + 12<br />y = -4/3 x + 4 slope is -4/3 so the perpendicular slope is 3/4<br />y = mx + b<br />0 = (3/4)(5) + b<br />0 = 15/4 + b<br />-15/4 = b<br />y = 3/4 x - 15/4<br />
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