Finding Slope and Writing Equations from Word Problems

The video tutorial explains how to write equations from word problems, focusing on slope-intercept form (y = mx + b). It covers identifying the slope (m) and y-intercept (b) using keywords like 'per', 'each', and 'every' for slope, and 'fee', 'starting point', or 'initial value' for y-intercept. The tutorial includes examples such as a babysitting job, filling a bathtub, and managing savings, demonstrating how to apply these concepts. The video concludes with tips for identifying key elements in word problems.

Why is it important to take notes and use highlighters while watching the video?

• To make the video longer

• To draw pictures

• To help remember key points and concepts

• To make the video more colorful

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

• The y-intercept

• The constant term

• The slope

• The x-intercept

Which of the following is NOT a keyword to identify the slope in a word problem?

• Total

• Per

• Each

• Every

What is the slope in the equation for Ben's babysitting charges?

• $20

• $40

• $30

• $10

What does the $10 in Ben's babysitting equation represent?

• The slope

• The y-intercept

• The total cost

• The hourly rate

In the bathtub example, what is the slope of the equation?

• 1.5 gallons per minute

• 0 gallons per minute

• 2 gallons per minute

• 1 gallon per minute

What is the starting point or y-intercept in the bathtub example?

• 1 gallon

• 2 gallons

• 0 gallons

• 1.5 gallons

In Noemi's savings example, what does the $700 represent?

• The y-intercept

• The slope

• The total savings

• The weekly spending

What is the slope in Noemi's savings example?

• $700

• -$20

• -$700

• $20

Which keyword indicates a negative slope in Noemi's savings example?

• Each

• Every

• Per

• Spends