Understanding Slope and Intercepts

The video tutorial explains how to derive the slope-intercept form of a linear equation from a table of values. It begins by identifying the changes in y-values and x-values to calculate the slope. The y-intercept is determined by finding the y-value when x is zero. Finally, the slope-intercept equation is formulated using the calculated slope and y-intercept.

What is the first step in writing the slope-intercept form from a table?

• Find the x-intercept

• Find the slope

• Find the midpoint

• Find the y-intercept

How do you determine the change in y-values from the table?

• By subtracting the x-values

• By multiplying the y-values

• By adding the x-values

• By finding the difference between consecutive y-values

What pattern is observed in the change of y-values in the given table?

• The y-values increase by 2

• The y-values remain constant

• The y-values increase by 8

• The y-values decrease by 8

What is the change in x-values from -2 to 0?

• Subtract 2

• Add 2

• Multiply by 2

• Divide by 2

How is the slope calculated from the changes in y and x?

• By adding the changes

• By subtracting the changes

• By multiplying the changes

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

What is the slope of the line given the changes in y and x?

• 8

• 2

• 4

• 6

What is the result of dividing the change in y by the change in x in this example?

• 5

• 4

• 3

• 2

Where is the y-intercept found in the table?

• When x is 0

• When x is 4

• When x is 2

• When x is -2

What is the y-value when x is 0 in the table?

• 3

• 8

• 19

• 11

What is the slope-intercept form of the equation derived from the table?

• y = 4x + 11

• y = 2x + 8

• y = 4x + 8

• y = 2x + 11