Understanding Graphs and Slopes

The video tutorial explains how to find the slope from graphs and tables. It covers both positive and negative linear graphs, detailing how to calculate the slope using the change in y over the change in x. The tutorial also demonstrates how to analyze tables to determine the slope and understand linear relationships. Key concepts include identifying y-intercepts and using the equation y = mx + b to represent linear relationships.

What is the slope in a proportional relationship?

• The rate of change

• The x-intercept

• The y-intercept

• The constant term

In a proportional relationship, what is the value of x when calculating the slope?

• Ten

• Two

• One

• Zero

What is the starting point in a non-proportional relationship?

• The slope

• The origin

• The y-intercept

• The x-intercept

How can you identify a positive graph?

• It is a curve

• It increases from left to right

• It decreases from left to right

• It has no slope

What is the slope of a line if the change in y is 10 and the change in x is 2?

• 5

• 2

• 20

• 10

What does a negative slope indicate about a graph?

• The graph is a curve

• The graph is increasing

• The graph is decreasing

• The graph is constant

In the equation y = mx + b, what does 'b' represent?

• The slope

• The rate of change

• The x-intercept

• The y-intercept

What is the change in x if it goes from 0 to 5 in a table?

• 5

• 10

• 0

• 1

If x increases by 5 and y increases by 20, what is the slope?

• 4

• 5

• 20

• 25

What is the y-intercept if at 0 hours there are 30 gallons?

• 30

• 90

• 60

• 0