Exploring Linear Relationships and Tables in STAAR 2017 Math

The video tutorial explains how to model the relationship between distance and time using the slope-intercept form y=mx+b. It covers the components of the equation, focusing on the slope (m) and y-intercept (b), and demonstrates how to calculate these from a table. The tutorial emphasizes the importance of understanding these concepts for future math classes and provides methods to determine the y-intercept, especially in proportional relationships that pass through the origin.

What does the variable 'y' represent in the given problem?

• Time in seconds

• Acceleration

• Distance in feet

• Speed in miles per hour

Which form of equation is used to model the relationship between x and y?

• Exponential form

• Quadratic form

• Slope-intercept form

• Logarithmic form

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

• Slope

• X-intercept

• Constant

• Y-intercept

How can you remember what 'm' stands for in the slope-intercept form?

• M for maximum

• M for midpoint

• M for movement

• M for mean

What does the 'b' in the equation y = mx + b represent?

• Rate of change

• Y-intercept

• X-intercept

• Slope

Where does the y-intercept occur on a graph?

• At the highest point of the graph

• Where the graph crosses the y-axis

• At the origin

• Where the graph crosses the x-axis

What is the slope of the cheetah's speed based on the given table?

• 470

• 94

• 5

• 1

How do you calculate the slope from the given table?

• Change in x divided by change in y

• Change in y divided by change in x

• Difference between x and y values

• Sum of x and y values

If the y-intercept is zero, what type of relationship does the equation represent?

• Non-linear relationship

• Proportional relationship

• Inverse relationship

• Exponential relationship

What is the final equation that models the cheetah's speed?

• y = 470x + 0

• y = 94x + 0

• y = 5x + 0

• y = x + 0