Module 4 topic 3 2nd

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Even more writing linear functions

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Module 4 topic 3 2nd

  1. 1. Module 4 Topic 3<br />More – Writing Equations of Linear Functions<br />
  2. 2. Example 1<br />Slope = m<br />The formula to find slope is;<br />(y2 - y1) ÷ (x2 - x1) <br />
  3. 3. Example 2<br />What is the slope of a vertical line?<br />Vertical lines have no slope so they are undefined. <br />
  4. 4. Example 3<br />What is the slope of a horizontal line? Horizontal lines have a slope of zero!<br />
  5. 5. Example 4<br />Similar Problem: Find the slope of the line that passes through (-3, 6) and (-4, 4).<br />m = (4 - 6) ÷ (-4 - -3)<br />m = -2 ÷ -1<br />m = 2 <br />
  6. 6. Example 5<br />Point-Slope form is y2 - y1 = m(x2 - x1) <br />
  7. 7. Example 6<br />Similar Problem: Write the equation of the line in point-slope form that has a slope of -4/5 and passes through the point (3, 11).<br />y2 - y1 = m(x2 - x1)<br />y - 11 = -4/5 (x - 3) <br />
  8. 8. Example 7<br />Similar Problem: Write the equation of the line in slope-intercept form that has a slope of -4 and passes through the point (2, 0).<br />y = mx + b<br />0 = -4(2) + b<br />0 = -8 + b<br />8 = b<br />y = -4x + 8 <br />
  9. 9. Example 8<br />What is the equation for Standard Form?<br />Ax + By = C <br />
  10. 10. Example 9<br />Similar Problem: Change the linear equation y - 8 = 4(x - 3) to Standard Form.<br />y- 8 = 4(x - 3)<br />Solve for y.<br />Distribute 4.<br />y- 8 = 4x – 12<br />Add 8 to each side. <br />y= 4x - 4 <br />

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