Wind Speed and Linear Equations

This video tutorial covers graphing linear equations, including creating tables of values, plotting ordered pairs, and using graphs to solve real-life problems. It explains how to graph equations like y = x + 1 and y = -2x + 1, and discusses graphing horizontal and vertical lines. The tutorial concludes with a real-life application involving a tropical storm, using graphs to determine when it becomes a hurricane.

What is the primary goal when graphing linear equations?

• To solve quadratic equations

• To determine the slope of a curve

• To find the intersection of two lines

• To create a table of values and plot ordered pairs

What is the y-value when x = 0 for the equation y = x + 1?

• 0

• -1

• 1

• 2

How many points are needed to accurately graph a line?

• One

• Three

• Four

• Two

What pattern is observed when graphing y = -2x + 1?

• Subtract 2 from x, subtract 1 from y

• Subtract 1 from x, add 2 to y

• Add 1 to x, subtract 2 from y

• Add 2 to x, add 1 to y

What type of line does the equation y = -3 represent?

• Vertical line

• Curved line

• Horizontal line

• Diagonal line

For the equation x = 2, what is the nature of the line?

• Curved line

• Vertical line

• Horizontal line

• Diagonal line

What is the wind speed equation for the tropical storm?

• y = 2x + 60

• y = x + 66

• y = 2x + 66

• y = 3x + 66

At what wind speed does a tropical storm become a hurricane?

• 66 miles per hour

• 70 miles per hour

• 74 miles per hour

• 80 miles per hour

How many hours after entering the Gulf of Mexico does the storm become a hurricane?

• 5 hours

• 4 hours

• 3 hours

• 2 hours

What is the pattern observed in the wind speed equation y = 2x + 66?

• Add 1 to x, add 1 to y

• Add 1 to x, add 2 to y

• Add 2 to x, add 1 to y

• Add 2 to x, add 2 to y