Writing Linear Equations from Graphs: Key Concepts and Techniques

The video tutorial explains how to write a linear equation from a graph. It covers the basic components of a linear equation, including the slope (M) and y-intercept (B). The tutorial demonstrates how to calculate the slope using the formula Delta Y over Delta X, and how to identify the y-intercept where the line crosses the y-axis. Two examples are provided: one with a positive slope and another with a negative slope, illustrating how to form the complete linear equation.

What is the general form of a linear equation?

• y = ax^2 + bx + c

• y = mx + b

• y = mx^2 + b

• y = a/x + b

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

• Y-intercept

• Constant term

• X-intercept

• Slope

How do you calculate the slope from a graph?

• X-intercept over Y-intercept

• Delta Y over Delta X

• Delta X over Delta Y

• Y-intercept over X-intercept

If a line rises 4 units and runs 1 unit, what is the slope?

• 1/4

• 4

• 4/1

• 1

What is the y-intercept of a line?

• Where the line crosses the x-axis

• Where the line crosses the y-axis

• The slope of the line

• The point where x equals y

In the equation y = 4x + 8, what is the y-intercept?

• 8

• 0

• 12

• 4

What is the first step in forming a linear equation from a graph?

• Calculate the slope

• Find the y-intercept

• Write the equation

• Identify the x-intercept

If a line goes down 3 units and over 2 units, what is the slope?

• -3/2

• 3/2

• -2/3

• 2/3

What is the y-intercept if the line crosses the y-axis at -3?

• 0

• -3

• 3

• -1

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

• y = 3/2x + 3

• y = -3/2x - 3

• y = 3/2x - 3

• y = -3/2x + 3