Graphing and Analyzing Linear Equations

The video tutorial covers the slope intercept form of an equation, explaining its components: the slope (m) and the Y-intercept (b). It demonstrates how to use input-output charts to understand the relationship between independent and dependent variables. The tutorial also shows how to graph lines using the slope intercept form, including drawing parallel lines with the same slope but different Y-intercepts. Finally, it explains how to write equations in slope intercept form and graph them effectively.

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = b + mx

• x = my + b

• x = b + my

How do you determine the slope from two points on a line?

• Subtract the y-values and divide by the x-values

• Add the x-values and y-values

• Multiply the x-values and y-values

• Subtract the x-values and divide by the y-values

How do you find the slope from a graph?

• Find the midpoint of the line

• Measure the angle of the line

• Calculate the rise over run between two points

• Count the number of grid squares the line crosses

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

• The constant term

• The x-intercept

• The y-intercept

• The slope

What does the 'b' in the equation y = mx + b stand for?

• The y-intercept

• The x-intercept

• The origin

• The slope

How do you find the y-intercept from a graph?

• Calculate the average of all points

• Find the midpoint of the line

• Look for the point where the line crosses the y-axis

• Look for the point where the line crosses the x-axis

Why is the x-value called the independent variable?

• It is always zero

• It is chosen freely and not dependent on other variables

• It depends on the y-value

• It is always positive

In an input-output chart, what is the relationship between x and y?

• x is dependent on y

• x and y are independent

• y is independent of x

• y is dependent on x

How can you quickly draw a line using the slope-intercept form?

• By using only the x-intercept

• By drawing a vertical line

• By plotting random points

• By using the slope and y-intercept to plot points

What is the first step in plotting a line using the slope-intercept form?

• Draw a horizontal line

• Plot the y-intercept

• Calculate the slope

• Plot the x-intercept