Graphing Linear Equations and Functions

This video tutorial covers graphing linear equations, including creating tables of values, plotting ordered pairs, and using graphs to solve real-life problems. It demonstrates graphing equations like y = x + 1 and y = -2x + 1, and explains how to graph 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 determine the y-intercept

• To create a table of values and plot ordered pairs

• To solve quadratic equations

• To find the slope of the line

What is the ordered pair for x = 0 in the equation y = x + 1?

• (1, 1)

• (1, 0)

• (0, 1)

• (0, 0)

How many points are needed to accurately graph a line?

• Four

• One

• Two

• Three

What is the y-value when x = 2 for the equation y = -2x + 1?

• -1

• 1

• 3

• -3

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

• Curved line

• Horizontal line

• Diagonal line

• Vertical line

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

• Horizontal

• Diagonal

• Vertical

• Curved

What is the wind speed equation for the tropical storm?

• y = 3x - 2

• y = 2x + 66

• y = -2x + 1

• y = x + 1

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

• 80 mph

• 66 mph

• 70 mph

• 74 mph

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

• 5 hours

• 4 hours

• 3 hours

• 2 hours

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

• Subtract 1 from y for every increase in x

• Add 1 to y for every increase in x

• Subtract 2 from y for every increase in x

• Add 2 to y for every increase in x