Understanding Linear Equations from Tables and Graphs

The video tutorial covers writing linear equations from tables and graphs. It explains how to determine the constant rate of change and find the Y-intercept. The tutorial includes exercises and examples, such as handling negative rates of change and using graphs to find slopes. It concludes with instructions for homework, emphasizing the importance of understanding proportional relationships.

What is the first step in writing a linear equation from a table of values?

• Check if the relationship is proportional

• Find the slope using rise over run

• Determine the constant rate of change

• Identify the Y-intercept

How do you find the Y-intercept from a table of values?

• Use the highest Y value

• Find the midpoint of the table

• Calculate the average of Y values

• Look for the point where X is zero

In the exercise, what is the rate of change when Y changes from -11 to 9 and X changes from -5 to 0?

• 3

• 4

• 5

• 20

What is the Y-intercept in the equation Y = 4X + 9?

• 5

• 0

• 9

• 4

When determining the slope from a graph, what does 'rise over run' refer to?

• The midpoint of the line

• The total distance covered by the line

• The change in Y over the change in X

• The change in X over the change in Y

If a line crosses the Y-axis at -4, what is the Y-intercept?

• -4

• 4

• 0

• 1

What does it mean if a line passes through the origin (0,0)?

• The slope is zero

• The line is vertical

• The relationship is proportional

• The line is horizontal

In a proportional relationship, what is the Y-intercept?

• The same as the slope

• 0

• 1

• Undefined

What should you do if a line equation includes '+0'?

• Include it in the equation

• Subtract it from the slope

• Ignore it

• Multiply it by the slope

What is the importance of the Y-intercept in a linear equation?

• It indicates the steepness of the line

• It shows where the line crosses the Y-axis

• It determines the slope

• It is always zero