Understanding Slope

This video tutorial introduces the concept of slope, explaining how it is determined using two points on a graph. The instructor demonstrates how to graph points and draw a line through them, then explains the calculation of slope using the formula 'rise over run' or 'change in y over change in x'. Several examples are provided to illustrate the calculation process. The tutorial concludes with a brief introduction to the next module, which will cover the y-intercept and how to write the equation of a line.

What is the minimum number of points needed to define a line?

• One

• Two

• Three

• Four

If a line passes through the points (-1, 3) and (2, 1), what is the slope of the line?

• 3/2

• -3/2

• -2/3

• 2/3

What does the Greek letter delta (Δ) represent in the context of slope?

• Sum

• Product

• Change

• Difference

How do you calculate the slope of a line using two points?

• Add the x-coordinates and y-coordinates

• Subtract the x-coordinates from the y-coordinates

• Multiply the x-coordinates by the y-coordinates

• Divide the change in y by the change in x

If the slope of a line is negative, what can be said about the direction of the line?

• It slopes upwards from left to right

• It is horizontal

• It slopes downwards from left to right

• It is vertical

What is the slope of the line passing through the points (5, 2) and (3, 5)?

• 2/3

• -3/2

• -2/3

• 3/2

When calculating slope, why is it important to maintain the order of points?

• To make the line vertical

• To make the line horizontal

• To avoid incorrect calculations

• To ensure the slope is positive

What is the slope of the line passing through the points (1, 2) and (4, 3)?

• -3

• 3

• -1/3

• 1/3

What is the equation of a line in slope-intercept form?

• y = mx + b

• y = b + mx

• x = b + my

• x = my + b

What additional information is needed to write the equation of a line besides the slope?

• The x-intercept

• The y-intercept

• The midpoint

• The length of the line