Exploring Slope Intercept Form through Word Problems

What does the 'M' represent in the slope-intercept form equation y = MX + B?

• The y-intercept

• The output variable

• The slope or rate of change

• The initial value

In word problems, which words typically indicate the rate of change?

• Total

• Per, each, or every

• Starting

• Initial

In Example 1, what is the y-intercept when calculating the total cost of setting up and maintaining a website?

• $48

• $44

• $0

• $92

What is the equation for the total cost C of setting up and maintaining a website for M months?

• C = 44 + 48M

• C = 44M + 48

• C = 48 + 44M

• C = 48M + 44

In Example 2, what is the slope when calculating the total cost of a gym membership?

• $30

• $33

• $228

• $6

How do you find the initial membership fee in Example 2?

• By solving the equation 228 = 33 * 6 + B

• By subtracting the total cost from the monthly cost

• By dividing the total cost by the number of months

• By adding the monthly cost to the total cost

In Example 3, what are the two ordered pairs used to find the slope?

• (5, 170) and (8, 125)

• (5, 125) and (8, 170)

• (125, 5) and (170, 8)

• (8, 125) and (5, 170)

What is the rate of change (slope) for the BMX racing cost in Example 3?

• $5

• $15

• $75

• $45

What is the y-intercept (initial membership fee) for the BMX racing cost in Example 3?

• $15

• $45

• $50

• $75

What is the general strategy for solving word problems using slope-intercept form?

• Guess the values and check if they fit

• Use only the given values without creating ordered pairs

• Identify the rate of change and y-intercept, create ordered pairs, and solve for missing values

• Ignore the initial values and focus on the rate of change