Understanding Slope and Y-Intercept

The video tutorial explains the concepts of slope and y-intercept in linear equations. It begins with an introduction to these concepts, followed by a detailed explanation of the y-intercept, which is the point where a graph crosses the y-axis. The tutorial then explores the concept of slope, defined as rise over run, and discusses how to determine if a slope is positive or negative. The video uses graph examples to illustrate these concepts, comparing different graphs to highlight the differences in slope and y-intercept. The tutorial concludes with a review of the key points discussed.

What is the y-intercept of a graph?

• The highest point on the graph

• The steepness of the graph

• The point where the graph crosses the y-axis

• The point where the graph crosses the x-axis

How do we determine if the slope of a graph is positive?

• If the graph is horizontal

• If the graph is vertical

• If the graph is going upwards from left to right

• If the graph is going downwards from left to right

Where does the first graph cross the y-axis?

• At negative 2

• At positive 2

• At positive 1

• At negative 1

What is the y-intercept of the second graph?

• Zero

• Negative 1

• Positive 2

• Positive 1

How do you calculate the slope of a graph?

• By finding the y-intercept

• By measuring the length of the graph

• By using the formula rise over run

• By counting the number of points on the graph

What is the slope of the first graph?

• Positive 1

• Negative 1

• Positive 2

• Zero

What indicates a negative slope on a graph?

• The graph is horizontal

• The graph is decreasing from left to right

• The graph is vertical

• The graph is increasing from left to right

What is the slope of the second graph?

• Positive 1

• Negative 2

• Negative 1

• Positive 2

Where does the graph on the left cross the y-axis in the new set of graphs?

• At positive 1

• At zero

• At negative 3

• At positive 3

What is the slope of the graph on the right in the new set of graphs?

• Negative 2

• Positive 2

• Negative 1/3

• Positive 1/3