Finding the Slope from Two Points on a Line

Mrs. Piper explains how to find the slope of a line, discussing both proportional and non-proportional lines. She demonstrates calculating slope when a line passes through the origin and when it does not. The video includes examples of calculating slope using two points, emphasizing the concept of rise over run and the importance of maintaining the correct order of subtraction. A negative slope example is also provided to illustrate how the slope changes direction.

What is another term sometimes used for the slope of a line?

• Gradient

• Unit rate

• Angle

• Intercept

Which of the following conditions make a line proportional?

• It is a curved line

• It is a straight line and goes through the origin

• It has a negative slope

• It has a positive slope

If a line does not go through the origin, what do we need to calculate to find the slope?

• The intercept of the line

• The length of the line

• The change in y over the change in x

• The angle of the line

What is the slope of a line that passes through the points (5,9) and (3,4)?

• 2

• 5/2

• 3/2

• 5/3

What is the term used to describe the vertical change in a line?

• Rise

• Run

• Intercept

• Slope

What is the term used to describe the horizontal change in a line?

• Rise

• Run

• Intercept

• Slope

If the slope of a line is 5/2, what is the decimal equivalent?

• 3.5

• 3.0

• 2.5

• 2.0

What is the formula for calculating the slope using coordinates?

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

What is the slope of a line that passes through the points (3,6) and (7,3)?

• 4/3

• -4/3

• 3/4

• -3/4

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

• The line is horizontal

• The line goes uphill as you move to the right

• The line goes downhill as you move to the right

• The line is vertical