Understanding Graph Equations

The video tutorial explains how to derive the equation of a graph in the form y = mx + b. It covers identifying the Y-intercept, which is where the graph crosses the Y-axis, and calculating the slope using a slope triangle. The tutorial concludes by combining these elements to write the final equation of the graph.

What is the general form of a linear equation?

• y = ax + b^2

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

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

• Constant

• X-intercept

• Slope

• Y-intercept

Which part of the equation y = mx + b is affected by the slope?

• The y-intercept

• The y-coefficient

• The constant term

• The x-coefficient

Where does the y-intercept occur on a graph?

• At the highest point of the graph

• At the origin

• Where the graph crosses the y-axis

• Where the graph crosses the x-axis

What is the first step in writing an equation from a graph?

• Finding the slope

• Calculating the midpoint

• Determining the x-intercept

• Identifying the y-intercept

How do you find the slope of a graph?

• By measuring the distance between two points

• By finding the midpoint of the line

• By determining the y-intercept

• By calculating the change in y over the change in x

If a line goes down 6 units and over 2 units, what is the slope?

• 3

• -3

• -2

• 2

What is the y-intercept if a graph crosses the y-axis at (0, 2)?

• 3

• 2

• 1

• 0

What is the equation of a line with a slope of -3 and a y-intercept of 2?

• y = -2x + 3

• y = 3x - 2

• y = 2x - 3

• y = -3x + 2