finding the slope of a line given two points on a graph

The video tutorial explains how to find the slope of a line given a graph with two points. It introduces the concept of slope as a rate of change and demonstrates how to use slope triangles to calculate it. The tutorial covers the mathematical definition of slope as the change in Y over the change in X, and discusses the direction of slope, whether positive or negative. Example problems are provided to illustrate the process of determining slope using rise over run, emphasizing the importance of understanding both the vertical and horizontal changes between points.

What is the primary purpose of identifying two points on a graph when finding the slope?

• To determine the distance between them

• To calculate the rate of change

• To find the midpoint

• To measure the angle of inclination

What does the 'rise' in a slope triangle represent?

• The horizontal distance between two points

• The vertical change between two points

• The diagonal distance between two points

• The total distance traveled

How is the slope commonly expressed in mathematical terms?

• Change in y over change in x

• Product of x and y

• Sum of x and y

• Change in x over change in y

What does a negative slope indicate about the direction of a line on a graph?

• The line is vertical

• The line goes upwards as it moves to the right

• The line is horizontal

• The line goes downwards as it moves to the right

In the example provided, what is the slope of the line between the points (-2, 4) and (1, 3)?

• -3/7

• 3/7

• 7/3

• -7/3

When reading a slope from right to left, what happens to the sign of the slope?

• It remains unchanged

• It becomes negative

• It becomes positive

• It becomes zero

What is the significance of using a slope triangle in determining the slope?

• It simplifies the calculation of rise and run

• It measures the angle of the slope

• It determines the length of the line

• It helps in finding the midpoint