Understanding Linear Functions

The video tutorial explains how to determine the slope, y-intercept, and equation of a linear function from a table of values. It begins by identifying the positive slope and calculating it using two ordered pairs. The tutorial then demonstrates finding the y-intercept by substituting values into the linear equation. Finally, it formulates the complete linear equation in slope-intercept form and concludes with a summary of the process.

What is the main task described in the problem?

• To determine the slope, vertical intercept, and equation of a linear function

• To solve a quadratic equation

• To find the area of a circle

• To calculate the volume of a cube

Tags

CCSS.HSF-LE.A.1B

What happens to the y-values as the x-values increase in a linear function?

• The y-values increase

• The y-values fluctuate randomly

• The y-values remain constant

• The y-values decrease

Tags

CCSS.8.EE.B.5

How is the slope of a linear function calculated?

• By multiplying the x and y values

• By adding the x and y values

• By dividing the change in x by the change in y

• By dividing the change in y by the change in x

Tags

CCSS.8.EE.B.5

Which two points are used to calculate the slope in this problem?

• (2, 88) and (3, 127)

• (1, 49) and (3, 127)

• (0, 0) and (1, 1)

• (1, 49) and (2, 88)

Tags

CCSS.8.EE.B.5

What is the calculated slope of the linear function?

• 39

• 10

• 88

• 49

What is the y-intercept of the linear function?

• 0

• 10

• 39

• 49

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

How is the y-intercept found using the slope and a point?

• By dividing the y-value by the slope

• By substituting the slope and a point into the equation y = mx + b

• By subtracting the slope from the y-value

• By adding the slope to the y-value

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the final equation of the linear function?

• y = 88x + 49

• y = 39x + 10

• y = 10x + 39

• y = 49x + 88

Tags

CCSS.HSF-IF.C.7A

What does the ordered pair (0, 10) represent in the context of this problem?

• A random point on the graph

• The y-intercept of the function

• The x-intercept of the function

• The slope of the function

Tags

CCSS.5.G.A.1

Why is it important to use parentheses when writing an ordered pair?

• To separate the x and y values

• To clearly indicate the coordinates of a point

• To show addition

• To indicate multiplication

Tags

CCSS.5.G.A.1