Understanding Linear Functions

What is the main objective of the lesson on linear functions?

• To explore geometric shapes

• To construct and interpret a linear function using a table of values

• To understand calculus concepts

• To learn about quadratic equations

When completing a table that models a linear relationship, what is the constant rate of change between X values?

• 5

• 2

• 4

• 3

How do you determine the Y value when X is 4 in a linear relationship table?

• By looking at the graph

• By guessing

• By using a calculator

• By identifying the constant rate of change

What is the formula used to find the slope of a linear function?

• Y = X + B

• Change in Y over change in X

• X = Y + C

• Y = MX + B

What is the Y-intercept of a function when X is 0?

• The point where the line crosses the Y-axis

• The point where the line crosses the X-axis

• The midpoint of the line

• The slope of the line

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

• Y = B + MX

• X = Y + M

• X = MY + B

• Y = MX + B

How can you verify if a point lies on a line represented by a linear equation?

• By checking if the point satisfies the equation

• By drawing the line on a graph

• By using a calculator

• By measuring the distance

What is the Y-intercept of the function in the new table provided in the interactive section?

• 9

• 7

• 5

• 3

What is the slope of the function in the new table provided in the interactive section?

• 2

• 4

• 1

• 3

Does the point (8, -19) lie on the line represented by the new table's linear relationship?

• No, because it does not satisfy the equation

• Yes, because it satisfies the equation

• No, because it is outside the table

• Yes, because it is a random point