Writing Linear Equations from Function Tables

What are the two key components needed to write a linear equation from a function table?

• Slope (m) and y-intercept (b)

• Maximum and minimum values

• X-intercept and y-intercept

• Initial value and rate of change

How is the slope (m) calculated in a linear equation?

• Change in y divided by change in x

• Sum of y divided by sum of x

• Product of x and y changes

• Change in x divided by change in y

What does the y-intercept (b) represent in a linear equation?

• The maximum value of y

• The value of x when y is 0

• The value of y when x is 1

• The value of y when x is 0

In a function table, if y increases by 2 when x increases by 1, what is the slope?

• 1

• -2

• 2

• 0.5

What is the slope if y increases by 3 for every 1 unit increase in x?

• -3

• 1

• 3

• 1/3

How can you find the y-intercept if the function table does not include a point where x is 0?

• It cannot be determined

• By averaging the y-values

• By using any point and solving the equation for b

• By setting y to 0 and solving for x

If the slope (m) is 1/3, what does this indicate about the relationship between x and y?

• X and y increase at the same rate

• Y decreases as x increases

• X increases three times faster than y

• Y increases three times faster than x

When dealing with non-constant changes in x and y, how can you still determine the slope?

• By using only the first and last points

• By finding the average change in y and x

• It's not possible to determine the slope

• By calculating the slope for each change and finding the common value

What does a negative slope indicate about the relationship between x and y?

• As x increases, y also increases

• As x increases, y remains constant

• As x increases, y decreases

• There is no relationship between x and y

If the slope is -2/3 and b is 12, what is the linear equation?

• y = 3/2x + 12

• y = -3/2x - 12

• y = -2/3x + 12

• y = 2/3x - 12