Finding the Slope from Two Points

This video tutorial explains how to find the slope of a line using the slope formula. It begins with an introduction to the concept of slope and the formula y2 - y1 over x2 - x1. The video then provides step-by-step examples of calculating the slope from given points, including handling negative numbers and simplifying fractions. The tutorial emphasizes the importance of using parentheses when substituting numbers into the formula and demonstrates how to simplify the resulting fractions to find the slope.

What is the main topic of the video?

• Finding the intercept of a line

• Finding the slope of a line using a graph

• Finding the equation of a line

• Finding the slope of a line using the slope formula

What does the slope of a line represent?

• The intercept of the line

• The length of the line

• The angle of the line

• The rate of a line rising compared to its run

In the slope formula, what does y2 - y1 represent?

• The product of the y-coordinates

• The change in the x-coordinates

• The change in the y-coordinates

• The sum of the y-coordinates

What are the coordinates of the first point in the first example?

• (3, -2)

• (4, 1)

• (5, 4)

• (7, 5)

What is the slope calculated from the points (4,1) and (7,5)?

• 3/4

• 4/3

• 1/2

• 2/3

In the second example, what is the result of 4 - (-2)?

• 6

• 2

• 8

• 4

What is the simplified slope from the points (-2,3) and (4,5)?

• 1/2

• 2/3

• 1/3

• 3/4

In the final example, what is the result of 3 - (-5)?

• 4

• 2

• 8

• 6

What is the simplified slope from the points (-5,2) and (3,-4)?

• -4/3

• -3/4

• -2/3

• -1/2

What should you always do after calculating the slope?

• Simplify the fraction

• Check the intercept

• Recalculate the points

• Plot the points on a graph