Understanding Linear Functions and Slope

The video tutorial explains how to derive a linear equation from a function table. It covers identifying the slope and y-intercept using changes in x and y values. Two examples demonstrate the process of calculating the slope and y-intercept, leading to the final linear equation. The tutorial concludes with a prompt to subscribe for more content.

What does a function table with a linear relationship represent when graphed?

• A circle

• A zigzag pattern

• A curved line

• A straight line

In the equation y = MX + B, what does the M represent?

• The slope of the line

• The y-intercept

• The midpoint of the line

• The x-intercept

How is the slope of a line calculated from a function table?

• By adding all Y values

• By dividing the change in Y by the change in X

• By multiplying all X values

• By subtracting the smallest X value from the largest

If the change in Y is 20 and the change in X is 2, what is the slope?

• 2

• 20

• 10

• 5

What is the next step after finding the slope in the equation y = MX + B?

• Calculate the midpoint

• Solve for X

• Find the y-intercept

• Graph the equation

How do you determine the y-intercept in the equation y = MX + B?

• By setting Y to zero

• By setting X to zero

• By finding the average of X values

• By substituting a point into the equation

What is the y-intercept if the equation is y = 10X - 4?

• 4

• -4

• 0

• 10

In the example with a slope of 1/2, what is the y-intercept?

• 1

• -1

• 2

• 0

What is the equation of a line with a slope of 1/2 and a y-intercept of -1?

• y = 2X - 1

• y = 1/2X - 1

• y = X - 1/2

• y = 1/2X + 1

What does the equation y = MX + B represent in a function table?

• A linear relationship

• A quadratic relationship

• An exponential relationship

• A logarithmic relationship