Writing Equations from Tables and Graphs

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

• y = mx + b

• y = ax^2 + bx + c

• y = mx^2 + b

• y = ax + b

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The constant term

• The slope

• The x-intercept

How can you find the slope from a table of values?

• By adding all y-values

• By subtracting the smallest x-value from the largest

• By using the formula (y2 - y1) / (x2 - x1)

• By counting the number of points

What does the y-intercept represent in a real-life scenario?

• The total cost

• The starting value or initial condition

• The highest point on the graph

• The rate of change

In the example of Luke's family at the movies, what is the cost of one drink?

• $4.50

• $10.00

• $3.75

• $6.25

What is the equation for the cost of drinks in slope-intercept form?

• y = 3.75x + 10

• y = 6.25x + 3.75

• y = 3.75x + 6.25

• y = 10x + 3.75

How do you find the slope from a graph?

• By counting the rise over the run

• By finding the midpoint

• By measuring the distance between points

• By adding the x and y values

In the plane fuel example, what does the slope of 5.2 represent?

• Distance traveled

• Total fuel used

• Gallons per mile

• Miles per gallon

What is the y-intercept in the plane fuel example?

• 5.2

• 0

• 30

• 156

In the bowling example, what does the y-intercept of 12 represent?

• The cost per game

• The number of games played

• The total cost

• The cost of renting shoes