5 8 Slopes of Parallel and Perpendicular Lines

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5 -8 Slopes of Parallel and Perpendicular Lines Learning Target Students will be able

5 -8 Slopes of Parallel and Perpendicular Lines Learning Target Students will be able to: Identify and graph parallel and perpendicular lines and write equations to describe lines parallel or perpendicular to a given line. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines To sell at a particular farmers’

5 -8 Slopes of Parallel and Perpendicular Lines To sell at a particular farmers’ market for a year, there is a $100 membership fee. Then you pay $3 for each hour that you sell at the market. However, if you were a member the previous year, the membership fee is reduced to $50. • The red line shows the total cost if you are a new member. • The blue line shows the total cost if you are a returning member. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines These two lines are parallel. Parallel

5 -8 Slopes of Parallel and Perpendicular Lines These two lines are parallel. Parallel lines are lines in the same plane that have no points in common. In other words, they do not intersect. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are parallel. y

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are parallel. y = 2 x – 3 y + 1 = 3(x – 3) Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are parallel. y

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are parallel. y = 2 x + 2; y = 2 x + 1; y = – 4; x = 1 y = 2 x + 2 y = 2 x + 1 y = – 4 x=1 Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Show that JKLM is a parallelogram.

5 -8 Slopes of Parallel and Perpendicular Lines Show that JKLM is a parallelogram. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Show that the points A(0, 2),

5 -8 Slopes of Parallel and Perpendicular Lines Show that the points A(0, 2), B(4, 2), C(1, – 3), D( – 3, – 3) are the vertices of a parallelogram. A(0, 2) D(– 3, – 3) • Holt Algebra 1 • B(4, 2) • • C(1, – 3)

5 -8 Slopes of Parallel and Perpendicular Lines Perpendicular lines are lines that intersect

5 -8 Slopes of Parallel and Perpendicular Lines Perpendicular lines are lines that intersect to form right angles (90°). Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are perpendicular: y

5 -8 Slopes of Parallel and Perpendicular Lines Identify which lines are perpendicular: y = 3; x = – 2; y = 3 x; . x = – 2 y =3 x Holt Algebra 1 y=3

5 -8 Slopes of Parallel and Perpendicular Lines Show that ABC is a right

5 -8 Slopes of Parallel and Perpendicular Lines Show that ABC is a right triangle. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Write an equation in slope-intercept form

5 -8 Slopes of Parallel and Perpendicular Lines Write an equation in slope-intercept form for the line that passes through (4, 10) and is parallel to the line described by y = 3 x + 8. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Write an equation in slope-intercept form

5 -8 Slopes of Parallel and Perpendicular Lines Write an equation in slope-intercept form for the line that passes through (2, – 1) and is perpendicular to the line described by y = 2 x – 5. Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines HW: 5. 8 Reteach WS &

5 -8 Slopes of Parallel and Perpendicular Lines HW: 5. 8 Reteach WS & Unit Review Holt Algebra 1

5 -8 Slopes of Parallel and Perpendicular Lines Warm Up Find the reciprocal. 1.

5 -8 Slopes of Parallel and Perpendicular Lines Warm Up Find the reciprocal. 1. 2 2. 3 3. Find the slope of the line that passes through each pair of points. 4. (2, 2) and (– 1, 3) 5. (3, 4) and (4, 6) 6. (5, 1) and (0, 0) Holt Algebra 1 2

5 -8 Slopes of Parallel and Perpendicular Lines Find the 25 th term of

5 -8 Slopes of Parallel and Perpendicular Lines Find the 25 th term of the arithmetic sequence. a 1 = – 5; d = – 2 Holt Algebra 1