Converting and Graphing Linear Equations

The video tutorial explains how to graph equations in standard form by converting them into slope-intercept form using algebra. It provides two examples, demonstrating the step-by-step process of isolating y and identifying the slope and y-intercept for graphing. The tutorial emphasizes the importance of understanding the conversion process to make graphing easier.

What is the main difference between standard form and slope-intercept form of an equation?

• Standard form has x and y on opposite sides of the equation.

• Slope-intercept form provides the slope and y-intercept directly.

• Standard form is used for quadratic equations.

• Slope-intercept form is used for inequalities.

Why can't we directly graph equations in standard form?

• They do not provide the slope and y-intercept.

• They are only used for quadratic equations.

• They are not real numbers.

• They require a graphing calculator.

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

• Divide both sides by y.

• Multiply both sides by 2.

• Subtract x from both sides.

• Add y to both sides.

In the equation 6x - 2y = 12, what operation is performed after subtracting 6x from both sides?

• Add 12 to both sides.

• Divide by -2.

• Multiply by 3.

• Add 6x to both sides.

What is the slope of the equation y = 3x - 6?

• 3

• 6

• -6

• 1/3

Where is the y-intercept of the equation y = 3x - 6 located on the graph?

• At y = 3

• At x = -6

• At x = 3

• At y = -6

What is the first step in isolating y in the equation -2x + 3y = 9?

• Subtract 3y from both sides.

• Add 2x to both sides.

• Divide by 9.

• Multiply by 3.

How do you handle the fraction 2/3 when converting to slope-intercept form?

• Multiply it by 3.

• Keep it as a fraction.

• Ignore it.

• Convert it to a decimal.

What is the y-intercept of the equation y = (2/3)x + 3?

• 0

• -3

• 3

• 2/3

What is the slope of the equation y = (2/3)x + 3?

• -2/3

• 2/3

• 3

• 1