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Lesson 7 MI/Vocab

Write an equation of the line that passes through a given point, parallel to a given line. Write an equation of the line that passes through a given point, perpendicular to a given line. parallel lines. perpendicular lines. Lesson 7 MI/Vocab. Lesson 7 Key Concept 1.

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Lesson 7 MI/Vocab

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  1. Write an equation of the line that passes through a given point, parallel to a given line. • Write an equation of the line that passes through a given point, perpendicular to a given line. • parallel lines • perpendicular lines Lesson 7 MI/Vocab

  2. Lesson 7 Key Concept 1

  3. Write the slope-intercept form of an equation for the line that passes through (4, –2) and is parallel to the graph of Parallel Line Through a Given Point Lesson 7 Ex1

  4. Replace m withy with –2, and x with 4. Parallel Line Through a Given Point Point-slope form Simplify. Distributive Property Subtract 2 from each side Lesson 7 Ex1

  5. Answer: The equation is Parallel Line Through a Given Point Write the equation in slope-intercept form. Lesson 7 Ex1

  6. Write the slope-intercept form of an equation for theline that passes through (2, 3) and is parallel to the graph of A. B. C. D. • A • B • C • D Lesson 7 CYP1

  7. Lesson 7 Key Concept 2

  8. GEOMETRYThe height of a trapezoid is measured on a segment that is perpendicular to a base. In trapezoid ARTP, RT and AP are bases. Can EZ be used to measure the height of the trapezoid? Explain. Determine Whether Lines are Perpendicular Lesson 7 Ex2

  9. Determine Whether Lines are Perpendicular Find the slope of each segment. Lesson 7 Ex2

  10. Answer: The slope of RT and AP is 1 and the slope of EZ is –7. –7●1  –1. EZ is not perpendicular to RT and AP, so it cannot be used to measure height. Determine Whether Lines are Perpendicular Lesson 7 Ex2

  11. The graph shows the diagonals of a rectangle. Determine whether JL is perpendicular to KM. A.JL is not perpendicular to KM. B.JL is perpendicular to KM. C. Cannot be determined • A • B • C Lesson 7 CYP2

  12. Perpendicular Line Through a Given Point Write the slope-intercept form for an equation of a line that passes through (4, –1) and is perpendicular to the graph of 7x – 2y = 3. Step 1 Find the slope of the given line. 7x – 2y = 3 Original equation Subtract 7x from each side. 7x – 2y– 7x = 3 – 7x Simplify. –2y = –7 + 3 Lesson 7 Ex3

  13. Step 2 Perpendicular Line Through a Given Point Divide each side by –2. Simplify. Lesson 7 Ex3

  14. Perpendicular Line Through a Given Point Step 3 Use the point-slope form to find the equation. Point-slope form Simplify. Distributive Property Lesson 7 Ex3

  15. Answer: The equation of the line is Perpendicular Line Through a Given Point Subtract 1 from each side. Simplify. Lesson 7 Ex3

  16. A. B. C. D. Write the slope-intercept form for an equation of a line that passes through (–3, 6)and is perpendicular to the graph of 3x + 2y = 6. • A • B • C • D Lesson 7 CYP3

  17. Perpendicular Line Through a Given Point Write the slope-intercept form for an equation of a line perpendicular to the graph of 2y + 5x = 2 that passes through (0, 6). Step 1 Find the slope of 2y + 5x = 2. 2y + 5x = 2 Original equation Subtract 5x from each side. 2y + 5x– 5x = 2 – 5x Simplify. 2y = –5x + 2 Lesson 7 Ex4

  18. Step 2 Perpendicular Line Through a Given Point Divide each side by 2. Simplify. Lesson 7 Ex4

  19. Answer: The equation of the line is Perpendicular Line Through a Given Point Step 3 Substitute the slope and the given point into the point-slope form of a linear equation. Then write the equation in slope-intercept form. Point-slope form Distributive Property Lesson 7 Ex4

  20. A. B. C. D. Write the slope-intercept form for an equation of a line perpendicular to the graph of y = 2x + 1 that passes through the x-intercept of that line. • A • B • C • D Lesson 7 CYP4

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