Exploring Slope Interpretation from Graphs

This video tutorial introduces the concept of slope in algebra, explaining it as the rate of change between two variables on a linear graph. It covers different types of slopes, including positive, negative, zero, and undefined slopes, and demonstrates how to calculate slope using the rise over run method. The tutorial also addresses special cases of slope and provides practice problems for better understanding.

What does the slope of a line represent in a linear graph?

• The ratio of vertical change to horizontal change

• The vertical change between two points

• The total distance between two points

• The horizontal change between two points

Which variable is commonly used to represent slope in equations?

• y

• x

• m

• b

How does a positive slope appear on a graph when read from left to right?

• It goes downward

• It remains horizontal

• It forms a vertical line

• It goes upward

What type of slope does a horizontal line have?

• Negative

• Undefined

• Positive

• Zero

What is the slope of a line if the rise is 7 and the run is 4?

• 7/4

• 4/7

• 2/1

• 1/2

If a line goes downward by 3 units and rightward by 9 units, what is the slope?

• -3

• 3

• 1/3

• -1/3

Which of the following is NOT a correct representation of a negative slope?

• -1/3

• 1/-3

• -1/-3

• -(1/3)

Why is the slope of a vertical line considered undefined?

• Because it forms a horizontal line

• Because the run is zero

• Because the rise is zero

• Because both rise and run are zero

What happens when you divide any number by zero?

• You get zero

• You get one

• You get an error

• You get an undefined result

What is the slope of a line that goes up 1 unit and right 4 units?

• 1/4

• 1/3

• 4/1

• 3/1