Understanding Slope from a Graph

The video tutorial explains how to find the slope of a line from its graph. It introduces the concept of slope as the rate of change of the output variable with respect to the input variable. The tutorial covers the formulas for calculating slope, including the change in y divided by the change in x, and demonstrates how to find the slope using two points on a graph. It also explains how to simplify the slope calculation and interpret the result.

What does the slope of a line indicate on a graph?

• The color of the line

• The thickness of the line

• The direction of the line

• The length of the line

If a line is going uphill from left to right, what can be said about its slope?

• The slope is zero

• The slope is negative

• The slope is undefined

• The slope is positive

Which formula can be used to express the slope of a line?

• Slope equals the product of x and y

• Slope equals the change in x divided by the change in y

• Slope equals the change in y divided by the change in x

• Slope equals the sum of x and y

What is one method to find the slope of a line from a graph?

• Estimate the slope by eye

• Select two points and calculate the vertical and horizontal changes

• Measure the length of the line

• Count the number of grid squares the line crosses

When using coordinates to find the slope, what is the formula for the change in y?

• x sub two minus x sub one

• y sub one minus y sub two

• x sub one minus x sub two

• y sub two minus y sub one

In the example, what is the vertical change between the two points?

• Negative 90

• Positive 400

• Negative 400

• Positive 90

How many units do you move horizontally to find the slope in the example?

• 90 units

• 40 units

• 9 units

• 400 units

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

• Negative 9/40

• Negative 49

• Negative 40/9

• Negative 4/9

What does the slope of negative 40/9 indicate about the line's movement?

• The line moves down 9 units for every 40 units right

• The line moves down 40 units for every 9 units right

• The line moves up 40 units for every 9 units right

• The line moves up 9 units for every 40 units right

What is the result of zero minus negative ninety in the slope calculation?

• Ninety

• Negative ninety

• One hundred eighty

• Zero