Understanding Slope and Intercepts

This video tutorial introduces Module 5, focusing on writing linear equations from situations. It covers identifying input and output variables, using ordered pairs, and finding slope and y-intercept. The tutorial includes three examples: a pottery studio, office building costs, and an allowance problem, demonstrating how to write equations in y=mx+b form.

What is the primary focus of Module 5?

• Solving quadratic equations

• Understanding geometric shapes

• Writing linear equations from situations

• Creating graphs from equations

Which of the following is typically considered the input variable?

• Temperature

• Distance

• Time

• Money

What formula is used to calculate the slope from two ordered pairs?

• m = (x1 - x2) / (y1 - y2)

• m = (y1 - y2) / (x1 - x2)

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

In Greta's pottery studio example, what is the slope of the equation?

• $10 per hour

• $5 per hour

• $3 per hour

• $15 per hour

What is the y-intercept in the equation for Greta's pottery studio?

• $3

• $15

• $10

• $20

In the office building example, what is the input variable?

• Number of floors

• Square feet

• Number of rooms

• Cost in dollars

What is the slope in the office building example?

• 4/3

• 3/4

• 2/3

• 3/2

In Ravi's allowance example, how much does he earn per chore?

• $3

• $2

• $1

• $4

What is the y-intercept in Ravi's allowance example?

• $0

• $1

• $2

• $3

What is the final equation for Ravi's allowance scenario?

• y = 2x + 3

• y = 3x + 2

• y = 3x - 2

• y = 2x - 3