Exploring Slope and Rate of Change from Graphs

The video tutorial explains how to find the slope of a line using a graph. It covers the concepts of positive and negative directions, provides examples of calculating slope using rise and run, and discusses the importance of axis labels. The tutorial also highlights how different line orientations affect slope and emphasizes the need to consider axis intervals when calculating slope.

When counting grid squares on a graph, which direction is considered positive?

• Downwards and leftwards

• Upwards and leftwards

• Downwards and rightwards

• Upwards and rightwards

If you move downwards on a graph, how should you denote the units of rise?

• As negative units

• As undefined units

• As zero units

• As positive units

What is the slope of a line if the rise is -6 and the run is 4?

• -2/3

• -3/2

• 2/3

• 3/2

What is the slope of a line that trends downwards from point A to point C with a rise of -5 and a run of 6?

• 5/6

• -5/6

• 6/5

• -6/5

What is the slope of a horizontal line?

• Negative

• Positive

• Zero

• Undefined

What is the slope of a vertical line?

• Undefined

• Zero

• Positive

• Negative

Why is it important to pay attention to graph labels when calculating slope?

• To ensure the units are correctly counted

• To avoid counting the same grid square twice

• To make the graph look neat

• To find the midpoint of the line

If the y-axis is labeled in intervals of 3 and the x-axis in intervals of 4, what is the correct slope if you move down 3 units and right 4 units?

• -3/4

• -3/3

• -3/2

• -3/1

What is the slope if you move down 6 units and right 12 units on a graph where both axes are labeled in intervals of 3?

• -3/4

• -1/2

• -1/3

• -2/3

If the x-axis and y-axis are labeled differently, what must you ensure when calculating slope?

• That the exact distances are calculated

• That the graph is symmetrical

• That the intervals are the same

• That the line is horizontal