Splash Screen. Over Lesson 3–3 5-Minute Check 1 A. B. C. D. What is the slope of the line MN for M(–3, 4) and N(5, –8)?

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Presentation transcript:

Splash Screen

Over Lesson 3–3 5-Minute Check 1 A. B. C. D. What is the slope of the line MN for M(–3, 4) and N(5, –8)?

Over Lesson 3–3 5-Minute Check 2 A. B. C. D. What is the slope of a line perpendicular to MN for M(–3, 4) and N(5, –8)?

Over Lesson 3–3 5-Minute Check 3 A. B. C. D. What is the slope of a line parallel to MN for M(–3, 4) and N(5, –8)?

Over Lesson 3–3 A.B. C.D. 5-Minute Check 4 What is the graph of the line that has slope 4 and contains the point (1, 2)?

Over Lesson 3–3 5-Minute Check 5 What is the graph of the line that has slope 0 and contains the point (–3, –4)? A.B. C.D.

Over Lesson 3–3 5-Minute Check 6 A.(–2, 2) B.(–1, 3) C.(3, 3) D.(4, 2)

Vocabulary slope-intercept form point-slope form

Concept

Example 1 Slope and y-intercept Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line.

Example 1 A.x + y = 4 B.y = x – 4 C.y = –x – 4 D.y = –x + 4 Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4.

Example 2 Slope and a Point on the Line Write an equation in point-slope form of the line whose slope is that contains (–10, 8). Then graph the line.

Example 2 Write an equation in point-slope form of the line whose slope is that contains (6, –3). A. B. C. D.

Example 3 Two Points A. Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0). Step 1 First, find the slope of the line.

Example 3 Two Points B. Write an equation in slope-intercept form for a line containing (–3, –7) and (–1, 3). Step 1 First, find the slope of the line.

Example 3a A. Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8). A. B. C. D.

Example 3b A.y = 2x – 3 B.y = 2x + 1 C.y = 3x – 2 D.y = 3x + 1 B. Write an equation in slope-intercept form for a line containing (1, 1) and (4, 10).

Example 4 Horizontal Line Write an equation of the line through (5, –2) and (0, –2) in slope-intercept form. Slope formula This is a horizontal line. Step 1

Example 4 Write an equation of the line through (–3, 6) and (9, –2) in slope-intercept form. A. B. C. D.

Concept

Example 5 Write Equations of Parallel or Perpendicular Lines

A.y = 3x B.y = 3x + 8 C.y = –3x + 8 D. Example 5

Example 6 Write Linear Equations RENTAL COSTS An apartment complex charges $525 per month plus a $750 annual maintenance fee. A. Write an equation to represent the total first year’s cost A for r months of rent.

Example 6 Write Linear Equations RENTAL COSTS An apartment complex charges $525 per month plus a $750 annual maintenance fee. B. Compare this rental cost to a complex which charges a $200 annual maintenance fee but $600 per month for rent. If a person expects to stay in an apartment for one year, which complex offers the better rate?

Assignment: 202/ 1-30,31-53odd,60-73