Writing Linear Equations from Situations and Graphs

This video tutorial covers writing linear equations from situations and graphs. It explains the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The tutorial provides examples, such as studio charges and fair rides, to illustrate how to calculate and write equations. It also includes graph interpretation to find equations and emphasizes understanding slope and intercept concepts.

What is the objective of the lesson on writing linear equations?

• To write an equation to model a linear relationship without any accuracy requirement.

• To write an equation to model a linear relationship with 100% accuracy.

• To write an equation to model a linear relationship with at least 80% accuracy.

• To write an equation to model a quadratic relationship.

In the slope-intercept form equation y = mx + b, what does 'm' represent?

• The constant term

• The x-intercept

• The y-intercept

• The slope

How do you find the slope (m) when given two points?

• By adding the y-values and dividing by the x-values

• By subtracting the y-values and dividing by the difference of the x-values

• By multiplying the y-values and dividing by the x-values

• By subtracting the x-values and dividing by the difference of the y-values

In the example of family registration, what is the initial value (b)?

• $100

• $70

• $50

• $20

In the family registration example, what is the rate of change (m)?

• $20 per child

• $100 per child

• $70 per child

• $50 per child

In the graph example, what is the slope (m) when using the points (0, 50) and (5, 150)?

• 40

• 30

• 20

• 10

In the graph example, what is the y-intercept (b)?

• 20

• 50

• 100

• 150

In the entrance cost example, what is the total cost given?

• $22

• $30

• $18

• $25

In the entrance cost example, how much does each ride cost?

• $4

• $3

• $2

• $5

In the entrance cost example, what is the entrance fee (b)?

• $5

• $4

• $3

• $2