Isolating Variables and Slope Concepts

The video tutorial explains how to convert linear equations into slope-intercept form, y = mx + b. It demonstrates the process of isolating the variable y by performing operations such as subtraction and division. Two example equations are solved step-by-step, showing how to rearrange terms and simplify the expressions to achieve the desired form.

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

• The x-intercept

• The slope

• The constant term

• The y-intercept

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

• The slope

• The x-intercept

• The coefficient of x

• The y-intercept

What is the first step to isolate y in the equation 4x - 6 = 2y?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 6 from both sides

• Add 6 to both sides

After moving 6 to the other side in the equation 4x - 6 = 2y, what is the next step?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the slope of the line represented by the equation y = 2x - 3?

• 3

• -3

• -2

• 2

In the equation 6x - 2 = 3y, what is the first step to isolate y?

• Divide both sides by 3

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 3

After subtracting 2 from both sides in the equation 6x - 2 = 3y, what is the next step?

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

What is the slope of the line represented by the equation y = 2x - 2/3?

• -2/3

• -2

• 2

• 3

What is the y-intercept of the line represented by the equation y = 2x - 2/3?

• 3

• -2/3

• 2

• -2

Which operation is used to cancel out multiplication in an equation?

• Division

• Multiplication

• Subtraction

• Addition