Understanding Linear Equations and Intercepts

The video tutorial explains the concept of the y-intercept in linear equations, focusing on how to determine it from a table of values. The y-intercept is defined as the value of y when x is zero. The tutorial provides three examples, each demonstrating how to find the y-intercept from different tables of values, highlighting the transition from using 'initial value' to 'y-intercept' and 'rate of change' to 'slope'.

What is the y-intercept in a linear equation?

• The value of y when x is 0

• The point where the line crosses the x-axis

• The value of x when y is 0

• The slope of the line

Which variable is used to represent the slope in a linear equation?

• B

• X

• M

• Y

In a linear equation, what does the variable B represent?

• The rate of change

• The y-intercept

• The slope

• The x-intercept

How is the slope represented in a linear equation?

• With the variable Y

• With the variable B

• With the variable M

• With the variable X

In the first example, what is the y-intercept when x is 0?

• 3

• 5

• 9

• 7

What is the technical meaning of the y-intercept?

• The point where the line crosses the x-axis

• The value of x when y is 0

• The value of y when x is 0

• The slope of the line

What is the y-intercept in a linear equation if the initial value is known?

• It is the same as the initial value

• It is double the initial value

• It is unrelated to the initial value

• It is half the initial value

In the first example, what is the value of y when x is 0?

• -5

• 0

• 10

• 5

What is the relationship between the initial value and the y-intercept?

• They are unrelated

• They are the same

• The initial value is twice the y-intercept

• The initial value is half the y-intercept

What is the y-intercept in the second example when x is 0?

• 8

• -5

• 0

• -8