Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSS Then/Now New Vocabulary Key...
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Transcript of Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) CCSS Then/Now New Vocabulary Key...
Five-Minute Check (over Lesson 2–3)
CCSS
Then/Now
New Vocabulary
Key Concept:Slope-Intercept Form
Example 1:Write an Equation in Slope-Intercept Form
Key Concept:Point-Slope Form
Example 2:Write an Equation Given Slope and One Point
Example 3:Standardized Test Example
Key Concept:Parallel and Perpendicular Lines
Example 4:Write an Equation of a Perpendicular Line
Over Lesson 2–3
Find the rate of change for the data.
Find the slope of the line that passes through points (2.3, 9.5) and (3.8, 20).Find the slope of the line that passes through points (3, 5) and (–6, 5).Determine the rate of change of the graph.
Graph
Over Lesson 2–3
Find the slope of the line that passes through points (2.3, 9.5) and (3.8, 20).
A. –7
B.
C. 7
D.
Over Lesson 2–3
A. –1
B. 0
C. 1
D. 3
Find the slope of the line that passes through points (3, 5) and (–6, 5).
Content Standards
A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity.
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Mathematical Practices
2 Reason abstractly and quantitatively.
You determined slopes of lines.
• Write an equation of a line given the slope and a point on the line.
• Write an equation of a line parallel or perpendicular to a given line.
Write an Equation in Slope-Intercept Form
Write an equation in slope-intercept form for the line.
Step 1 Find the slope.
Slope formula
(x1, y1) = (–1, 4), (x2, y2) = (2, 3)
Simplify.
••
Write an Equation in Slope-Intercept Form
Step 2 Use the slope and a point to find the y-intercept.
Slope-intercept form
Simplify.
The y-intercept is
Write an Equation in Slope-Intercept Form
Step 3 Substitute the values into the slope-interceptequation.
Slope-intercept form
What is an equation of the line through (2, –3) and (–3, 7)?
Read the Test ItemYou are given the coordinates of two points on the line.
A
B
C
D
Solve the Test Item
Step 1 Find the slope of the line.
The slope is –2. That eliminates choices B and C.
Slope formula
(x1, y1) = (2, –3), (x2,y2) = (–3, 7)
Simplify.
Step 2 Write an equation. Use either ordered pairfor (x1, y1).
Answer: D
Point-slope form
m = –2; (x1, y1) = (2, –3)
Simplify.
Subtract 3 from each side.
Write an Equation of a Perpendicular Line
Write an equation in slope-intercept form for the line that passes through (3, –2) and is perpendicular to the line whose equation is y = –5x + 1.
Write an Equation of a Perpendicular Line
Answer:
Distributive Property
Point-slope form
Subtract 2 from each side.