Splash Screen

Lesson Menu 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 5-Minute Check 1 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 5-Minute Check 1 Find the rate of change for the data. A.–22 mi/gal B.mi/gal C.mi/gal D.22 mi/gal

Over Lesson 2–3 5-Minute Check 2 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 5-Minute Check 3 A.–1 B.0 C.1 D.3 Find the slope of the line that passes through points (3, 5) and (–6, 5).

Over Lesson 2–3 5-Minute Check 4 Determine the rate of change of the graph. A.–3 B. C. D.3

CCSS 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.

Then/Now 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.

Vocabulary slope-intercept form point-slope form parallel perpendicular

Concept 1

Example 1 Write an Equation in Slope-Intercept Form Write an equation in slope-intercept form for the line. Step 1Find the slope. (x 1, y 1 ) = (–1, 4), (x 2, y 2 ) = (2, 3) (-1,4) (2,3) Step 2Find the y-intercept. Consider (-1,4), find b Step 3Substitute values into slope-intercept form

A. B. C. D. Example 1 Write an equation in slope- intercept form for the line. (0,3) (6,1)

Concept 2

Example 2 Write an Equation Given Slope and One Point Point-slope form

Example 2 A. B. C. D.

Example 3 What is an equation of the line through (2, –3) and (–3, 7) in slope intercept form? Read the Test Item You are given the coordinates of two points on the line. Think: Point Slope Form ABCDABCD

Example 3 What is an equation of the line through (2, –3) and (–3, 7) in slope intercept form? Step 1 Find slope. (x 1, y 1 ) = (2, –3) (x 2,y 2 ) = (–3, 7) Step 2Write an equation. m = -2

Example 3 Which is an equation of the line that passes through (2, 5) and (–1, 3)? A. B. C. D.

Concept

Example 4 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. Step 1 Find slope. Step 2 Write an equation. Answer:

Example 4 A. B. C. D. Write an equation in slope-intercept form for the line that passes through (3, 5) and is perpendicular to the line whose equation is y = 3x - 2.

End of the Lesson