Exploring the Solve for Y Concept

Why is it important to understand the equation y = mx + b?

• It is essential for understanding linear equations.

• It is necessary for solving polynomial equations.

• It helps in solving quadratic equations.

• It is used in geometry to find angles.

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

• The y-intercept

• The constant term

• The slope of the line

• The x-intercept

What is the first step in solving the equation 4x + 2y = 8 for y?

• Add 4x to both sides

• Divide both sides by 2

• Subtract 4x from both sides

• Multiply both sides by 2

After subtracting 4x from both sides in the equation 4x + 2y = 8, what is the next step?

• Subtract 8 from both sides

• Multiply both sides by 2

• Add 8 to both sides

• Divide both sides by 2

What is the final form of the equation 4x + 2y = 8 when solved for y?

• y = 4x - 2

• y = -2x + 4

• y = -4x + 2

• y = 2x + 4

In the equation 3x - 4y = -12, what is the first step to isolate y?

• Multiply both sides by -4

• Divide both sides by -4

• Subtract 3x from both sides

• Add 3x to both sides

What is the result of dividing both sides of the equation 3x - 4y = -12 by -4?

• y = 3/4x - 3

• y = -3/4x + 3

• y = 3/4x + 3

• y = -3/4x - 3

What is the first step in solving the equation 12x + 5y = 5 for y?

• Add 12x to both sides

• Subtract 12x from both sides

• Divide both sides by 5

• Multiply both sides by 5

After subtracting 12x from both sides in the equation 12x + 5y = 5, what is the next step?

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

What is the final form of the equation 12x + 5y = 5 when solved for y?

• y = -1/5x + 1

• y = 1/10x - 1

• y = -1/10x + 1

• y = 1/5x - 1