Mastering Slope and Rate of Change in Linear Graphs

The video tutorial explains how to find the rate of change from a graph, focusing on linear graphs. It introduces the concept of slope as the ratio of changes in y and x values. The tutorial provides an example of calculating change using subtraction and demonstrates how to find the slope using specific points on a graph. It also discusses alternative methods for determining slope, such as reading the graph from left to right or right to left, and explains why these methods are equivalent.

What is the rate of change in a linear graph commonly referred to as?

• Axis

• Vertex

• Slope

• Intercept

Which of the following represents a point on a graph?

• (y, x)

• (x, y)

• (y, y)

• (x, x)

If you had $20 yesterday and $2 today, what is the change in your money?

• $-22

• $-18

• $18

• $22

What mathematical operation is used to find the change between two values?

• Division

• Addition

• Multiplication

• Subtraction

In the slope formula, what does the numerator represent?

• Change in x values

• Product of x and y values

• Change in y values

• Sum of x and y values

What is the slope if the change in y is -3 and the change in x is 4?

• 4/3

• -3/4

• 3/4

• -4/3

When reading a graph from left to right, what does a negative slope indicate?

• The line is horizontal

• The line is vertical

• The line is falling

• The line is rising

How can you determine the slope if you read the graph from right to left?

• By going up and to the right

• By going down and to the right

• By going down and to the left

• By going up and to the left

Why are the slopes -3/4 and 3/-4 considered equivalent?

• They are both positive

• They both simplify to the same value

• They have the same denominator

• They have the same numerator

What is the primary method to find the rate of change from a graph?

• Using the intercept

• Using the axis

• Using the slope

• Using the vertex