Slope Intercept Word Problems Challenge

This video tutorial covers the slope-intercept form of linear equations, focusing on writing equations, understanding initial values, and solving word problems. It includes warm-up exercises, real-world examples, and practice problems to reinforce learning. The tutorial also explains how to interpret the slope and y-intercept in various contexts, such as graphs and tables.

What is the format of the slope-intercept form equation?

• x = my + b

• y = bx + m

• x = by + m

• y = mx + b

If the slope (m) is 2 and the y-intercept (b) is -2, what is the equation?

• y = 2x + 2

• y = -2x - 2

• y = -2x + 2

• y = 2x - 2

What does the term 'initial value' refer to in a word problem?

• The x-intercept of the equation

• The y-intercept of the equation

• The slope of the equation

• The rate of change

In the shoe store example, what does the slope of 15 represent?

• The initial points when signing up

• The cost of each pair of shoes

• The points earned per pair of shoes

• The total points after buying shoes

In the yearly subscription example, what does the y-intercept of 10 represent?

• The yearly subscription fee

• The total cost after 6 months

• The monthly fee

• The cost per month

If Joan adds 12 photos each week and has 120 photos after 8 weeks, what is the slope?

• 12

• 8

• 120

• 96

In the rental fee example, what does the slope of 2 represent?

• The total cost

• The initial cost

• The cost per hour

• The rental fee

In the table-based problem, if the number of months is 4 and the money saved is 130, what is the slope?

• 20

• 4

• 110

• 130

What does the y-intercept represent in the puppy weight example?

• The weight gain per month

• The initial weight of the puppy

• The weight gain each week

• The total weight after 6 weeks

In the pottery studio example, what does the slope of 15 represent?

• The firing fee

• The initial cost

• The total cost

• The cost per hour