Module 4 topic 3 2nd
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This document provides examples of writing equations of linear functions in different forms: - Slope is defined as the rise over the run and is used to find equations in point-slope form. - Vertical lines have undefined slope while horizontal lines have a zero slope. - Examples show writing equations in point-slope, slope-intercept, and standard form by given a slope and point or through manipulation of variables. - Standard form is defined as Ax + By = C.
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Module 4 topic 3 2nd
- 1. Module 4 Topic 3More – Writing Equations of Linear Functions
- 2. Example 1Slope = mThe formula to find slope is;(y2 - y1) ÷ (x2 - x1)
- 3. Example 2What is the slope of a vertical line?Vertical lines have no slope so they are undefined.
- 4. Example 3What is the slope of a horizontal line? Horizontal lines have a slope of zero!
- 5. Example 4Similar Problem: Find the slope of the line that passes through (-3, 6) and (-4, 4).m = (4 - 6) ÷ (-4 - -3)m = -2 ÷ -1m = 2
- 6. Example 5Point-Slope form is y2 - y1 = m(x2 - x1)
- 7. Example 6Similar 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).y2 - y1 = m(x2 - x1)y - 11 = -4/5 (x - 3)
- 8. Example 7Similar Problem: Write the equation of the line in slope-intercept form that has a slope of -4 and passes through the point (2, 0).y = mx + b0 = -4(2) + b0 = -8 + b8 = by = -4x + 8
- 9. Example 8What is the equation for Standard Form?Ax + By = C
- 10. Example 9Similar Problem: Change the linear equation y - 8 = 4(x - 3) to Standard Form.y- 8 = 4(x - 3)Solve for y.Distribute 4.y- 8 = 4x – 12Add 8 to each side. y= 4x - 4