Graphing Lines with Slope and Y-Intercept

The video tutorial explains how to graph lines using the slope and y-intercept. It covers three examples: a line with a slope of 2/5 and y-intercept of -7, a line with a slope of -2 and y-intercept of 5, and a line with a slope of -2/3 and y-intercept of 0. The tutorial demonstrates how to plot the y-intercept and use the slope to find additional points on the line, ensuring the line is accurately graphed on the coordinate plane.

What is the y-intercept of a line?

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

• The midpoint of the line

In the first example, what is the slope of the line?

• 7/2

• 5/2

• 2/5

• 3/5

How do you find additional points on a line using the slope?

• By finding the midpoint

• By moving vertically and horizontally according to the slope

• By only moving horizontally

• By only moving vertically

In the second example, what is the y-intercept of the line?

• 0

• 5

• -5

• 2

What is the slope of the line in the second example?

• 1/2

• -2

• 2

• -1/2

In the third example, what is the y-intercept of the line?

• -3

• 3

• 2

• 0

How can the slope -2/3 be represented differently?

• 3/2

• 2/-3

• -3/2

• 2/3

What happens when you use a slope of 2/-3?

• The line becomes horizontal

• The line becomes vertical

• The line remains the same

• The line changes direction

What is the importance of verifying the slope and y-intercept?

• To validate the line's accuracy

• To find the midpoint

• To confirm the line is vertical

• To ensure the line is horizontal

What is the result of using different representations of the same slope?

• Same line

• Different lines

• No line

• Parallel lines