Converting Standard Form to Slope Intercept Form

The video tutorial explains how to convert a linear equation from standard form (ax + by = c) to slope-intercept form (y = mx + b). It breaks down the process into manageable steps, emphasizing the need to isolate the y variable. The tutorial uses an example equation to demonstrate the conversion, highlighting the importance of understanding the roles of coefficients and constants in both forms. The video concludes with a verification of the conversion and a summary of key concepts.

In the equation 2x + 3y = 7, what is the coefficient of the X term?

• 7

• 2

• 3

• 1

What does the 'C' represent in the standard form equation Ax + By = C?

• The coefficient of X

• The slope

• The coefficient of Y

• The constant term

What does the 'B' represent in the standard form equation Ax + By = C?

• The coefficient of Y

• The coefficient of X

• The slope

• The constant term

What is the first step in converting a standard form equation to slope-intercept form?

• Multiply both sides by the X coefficient

• Divide both sides by the Y coefficient

• Subtract the X term from both sides

• Add the X term to both sides

After subtracting the X term from both sides, what should be the next step?

• Divide all terms by the coefficient of Y

• Add the Y term to both sides

• Multiply all terms by the coefficient of X

• Subtract the constant term from both sides

What operation is performed to isolate Y on one side of the equation?

• Addition

• Subtraction

• Multiplication

• Division

What is the slope in the equation y = -2/3x + 7/3?

• -2/3

• 7/3

• 2/3

• -7/3

In the slope-intercept form y = mx + b, what does 'm' represent?

• The constant term

• The slope

• The Y-intercept

• The coefficient of Y

What is the final form of the equation 2x + 3y = 7 in slope-intercept form?

• y = -2/3x + 7/3

• y = 7/3 - 2/3x

• y = 2/3x + 7/3

• y = 7/3x - 2/3

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

• The slope

• The constant term

• The coefficient of X

• The Y-intercept