Graphing Linear Equations in Math 8

This video tutorial introduces linear equations, focusing on graphing techniques. It covers basic graphing using a table of values, explains horizontal and vertical lines, and provides examples. The tutorial concludes with a real-world application involving a tropical storm's wind speed, demonstrating how to graph and interpret the data.

What is the primary focus of eighth-grade mathematics concerning equations?

• Linear equations

• Trigonometric equations

• Quadratic equations

• Polynomial equations

What is the purpose of creating a table of values when graphing a linear equation?

• To find the maximum value of the function

• To determine the slope of the line

• To calculate the intercepts on the axes

• To identify specific points that satisfy the equation

Why is it important to label the axes on a graph?

• To follow the rules of graphing

• To make the graph look complete

• To use different colors

• To provide clarity to the reader

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

• Vertical line

• Horizontal line

• Diagonal line

• Curved line

How can you graph the equation 'x = 2'?

• By drawing a circle at x = 2

• By drawing a curve through x = 2

• By plotting points where x varies but y remains 2

• By plotting points where y varies but x remains 2

What does a 'y = number' line look like on a graph?

• It intersects only the y-axis

• It intersects only the x-axis

• It is a curved line

• It is a diagonal line

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

• At least 74 miles per hour

• At least 100 miles per hour

• At least 50 miles per hour

• At least 120 miles per hour

What is the equation used to calculate the wind speed of a tropical storm?

• y = 2x - 66

• y = 3x - 66

• y = 3x + 66

• y = 2x + 66

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

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Why is it not appropriate to have negative values for hours in the context of the storm's progression?

• Because time cannot go backwards

• Because the storm dissipates

• Because negative values indicate a decrease in wind speed

• Because it is mathematically incorrect