Determining Slope and Y-Intercept from Data Tables

The video tutorial explains how to find the slope and y-intercept of a linear function using a table of values. It demonstrates calculating the slope by examining changes in y and x values, identifying the y-intercept from the table, and formulating the equation of the line in slope-intercept form.

What is the first step in finding the slope and y-intercept of a linear function from a table of values?

• Find the midpoint of the x values.

• Calculate the average of the y values.

• Plot the points on a graph.

• Identify the changes in x and y values.

How do you determine the slope of a linear function from a table of values?

• By multiplying the x and y values.

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

• By adding the x and y values.

• By subtracting the x values from the y values.

What is the pattern in the changes of y values in the given table?

• Add 3

• Multiply by 3

• Divide by 3

• Subtract 3

What is the pattern in the changes of x values in the given table?

• Multiply by 1

• Divide by 1

• Add 1

• Subtract 1

What is the slope of the linear function given the changes in y and x values?

• 1

• 2

• 4

• 3

How can you identify the y-intercept from a table of values?

• Divide the y values by the x values.

• Subtract the smallest y value from the largest y value.

• Find the average of the y values.

• Look for the y value when x is 0.

What is the y-intercept of the function given the table of values?

• 0

• 1

• 3

• 2

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

• y = mx + b

• y = bx + m

• x = my + b

• x = by + m

What value should replace 'm' in the slope-intercept form of the equation?

• 2

• 3

• 1

• 0

What is the final equation of the linear function given the slope and y-intercept?

• y = 2x + 3

• y = 3x + 1

• y = x + 3

• y = 3x + 2