Understanding Graphs and Equations

The video tutorial explains how to derive the equation of a line from a given graph. It covers the concepts of slope (M) and y-intercept (B), detailing how to calculate the slope using the rise over run method and identify the y-intercept where the line crosses the y-axis. The tutorial guides viewers through the process of finding these values from the graph and forming the equation y = mx + b, with examples and simplification tips.

What is the general form of the equation of a line?

• y = cx + m

• y = bx + m

• y = mx + b

• y = mx + c

What does the letter 'm' represent in the equation y = mx + b?

• The y-intercept

• The x-intercept

• The slope

• The constant term

How do you calculate the slope of a line?

• Difference of rise and run

• Rise over run

• Run over rise

• Sum of rise and run

What does the letter 'b' represent in the equation y = mx + b?

• The slope

• The x-intercept

• The y-intercept

• The constant term

Where does the y-intercept occur on a graph?

• Where the line crosses the y-axis

• At any point on the line

• Where the line crosses the x-axis

• At the origin

If a line crosses the y-axis at zero, what is the value of b?

• 1

• 3

• 2

• 0

What is the first step in finding the slope (m) from a graph?

• Calculate the rise

• Identify the y-intercept

• Choose two points on the line

• Calculate the run

If you move down two units and right one unit, what is the slope?

• -1

• 2

• 1

• -2

What is the final equation if the slope is -2 and the y-intercept is 0?

• y = 2x

• y = 2x + 0

• y = -2x + 0

• y = -2x

What is the simplified form of the equation y = -2x + 0?

• y = 0

• y = -2x + 0

• y = -2x

• y = 2x