Writing Linear Equations from Function Tables

What is the primary goal when writing a linear equation in y = mx + b form?

• Finding the value of x only

• Finding the values of x and y

• Finding the values of m and b

• Finding the value of y only

What does the variable 'm' represent in the equation y = mx + b?

• The constant term

• The slope

• The x-intercept

• The y-intercept

How is the slope (m) calculated using two points from a function table?

• By dividing the difference in y values by the difference in x values

• By multiplying the x values and y values

• By subtracting the x values from the y values

• By adding the x values and y values

What is the y-intercept (b) in the equation y = mx + b?

• The point where the line crosses the x-axis

• The difference between two y values

• The point where the line crosses the y-axis

• The slope of the line

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

• By finding the point where y = 1

• By finding the point where x = 0

• By finding the point where y = 0

• By finding the point where x = 1

What should you do to check the accuracy of your linear equation?

• Compare it with another equation

• Substitute points from the table into the equation

• Change the values of m and b

• Graph the equation

If a point in the function table has x = 0, what does its y value represent?

• The slope

• The x-intercept

• The y-intercept

• The rate of change

What should you do if the function table does not include a point where x = 0?

• Use the slope to find b

• Assume b is zero

• Ignore the y-intercept

• Use any point to solve for b

How do you isolate the variable b when solving for it?

• By multiplying both sides by the slope

• By adding the slope to both sides

• By subtracting the slope from both sides

• By performing the inverse operation on the constant term

What is the final step after finding the values of m and b?

• Substituting m and b into the equation y = mx + b

• Graphing the equation

• Rewriting the function table

• Checking the table for errors