Writing Equations in Slope-Intercept Form

The video tutorial covers the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. It explains how to derive the equation from a graph by identifying the slope and y-intercept. The tutorial also discusses horizontal and vertical lines, using the acronyms HOY and VX to describe their properties. A real-world example involving tunnel digging is used to illustrate the application of slope-intercept form in practical scenarios.

What does the 'm' represent in the slope-intercept form equation y = mx + b?

• The x-coordinate

• The y-coordinate

• The slope

• The y-intercept

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

• The slope

• The x-coordinate

• The y-intercept

• The x-intercept

How do you determine the slope from a graph?

• By counting the rise over run between two points

• By finding the y-intercept

• By finding the x-intercept

• By measuring the distance between two points

If a graph has a slope of -2/3, what does this indicate about the direction of the line?

• The line goes down from left to right

• The line goes up from left to right

• The line is vertical

• The line is horizontal

What is the y-intercept of a line that crosses the y-axis at 3?

• 1

• 0

• -3

• 3

What is the equation of a horizontal line that crosses the y-axis at -1?

• y = 0x - 1

• x = 0

• y = -1

• x = -1

What is the equation of a vertical line that crosses the x-axis at -3?

• y = -3

• x = -3

• y = 0x - 3

• x = 0

In the context of a word problem, what does the y-intercept represent?

• The slope

• The starting value

• The ending value

• The rate of change

If a tunnel is being dug at a rate of 500 feet per month, what is the slope of the equation representing this situation?

• -3500

• 3500

• -500

• 500

How many months does it take to complete the tunnel if the total distance is 3500 feet and the digging rate is 500 feet per month?

• 5 months

• 6 months

• 7 months

• 8 months