Writing Linear Equations from Situations and Graphs

The video tutorial covers writing linear equations in slope-intercept form from situations and graphs. It begins with an introduction to the slope-intercept form, explaining the components of the equation y = mx + b. The tutorial provides examples, such as calculating monthly costs for Greta's pottery studio and deriving equations from graphs. It also includes scenarios like a video club membership and a gift card, demonstrating how to write equations from descriptions and graphs.

What is the general form of a linear equation in slope-intercept form?

• y = ax^2 + bx + c

• y = mx^2 + b

• y = a/x + b

• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y = mx + b, what does 'm' represent?

• The input variable

• The output variable

• The y-intercept

• The slope

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the initial value or y-intercept in Greta's cost equation?

• $3

• $15

• $24

• $39

Tags

CCSS.8.EE.B.5

If Greta does not use the equipment at all in April, what will be her cost for that month?

• $24

• $15

• $3

• $0

Tags

CCSS.HSF.LE.B.5

How many hours did Greta use the equipment in May if her total cost was $39?

• 8 hours

• 15 hours

• 24 hours

• 11 hours

Tags

CCSS.6.EE.B.7

What is the slope in the equation derived from Greta's situation?

• 8

• 3

• 15

• 11

Tags

CCSS.8.EE.B.5

What is the y-intercept in the equation derived from the video club graph?

• 0

• 8

• 18

• 25

Tags

CCSS.HSF-IF.C.7A

What is the slope in the equation derived from the video club graph?

• 1.25

• 4

• 2.5

• 3

Tags

CCSS.8.EE.B.5

What is the initial value or y-intercept in the cafe gift card example?

• $10

• $2.50

• $20

• $25

Tags

CCSS.8.EE.B.5

How much is subtracted from the cafe gift card for each medium coffee purchased?

• $1.50

• $2.00

• $3.00

• $2.50

Tags

CCSS.HSF.LE.B.5