Understanding Linear Functions

The video tutorial explains how to find the equation of a linear function with a given slope and point. It starts by graphing the line using the slope and a point, then determines the equation in slope-intercept form. The process is verified algebraically to ensure accuracy.

What is the slope of the linear function described in the problem?

• 5

• -5

• 1

• -1

Which point does the line pass through?

• (0, 0)

• (5, -5)

• (1, 3)

• (3, 1)

Tags

CCSS.8.EE.B.5

How is the slope of a line defined?

• Change in x over change in y

• Difference between x and y

• Change in y over change in x

• Sum of x and y

What is the next step after identifying the slope and a point on the line?

• Calculate the midpoint

• Graph the line

• Find the x-intercept

• Determine the line's length

How do you find the second point on the line using the slope?

• Move left 5 units and down 1 unit

• Move right 5 units and up 1 unit

• Move down 5 units and right 1 unit

• Move up 5 units and left 1 unit

Where does the line intersect the y-axis?

• (0, 5)

• (0, 8)

• (0, 3)

• (0, -5)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation of the line derived from the graph?

• y = -5x - 8

• y = 5x + 8

• y = 5x - 8

• y = -5x + 8

Which method can be used to confirm the equation algebraically?

• Using the midpoint formula

• Using the distance formula

• Substituting the point into the equation

• Finding the x-intercept

Tags

CCSS.7.EE.B.4A

What value of b is found when solving algebraically?

• 3

• 5

• -5

• 8

What is the final confirmed equation of the line?

• y = 5x + 8

• y = -5x + 8

• y = -5x - 8

• y = 5x - 8