Rewriting an equation in slope intercept form to find the slope and y intercept

The video tutorial explains how to isolate the variable Y in an equation. It begins by subtracting 3X from both sides, resulting in 4Y = -3X + 12. The next step involves dividing each term by 4 to solve for Y, ensuring that each term is divided correctly. The final solution is presented as Y = -3/4X + 3, with an explanation of the slope (M) and y-intercept (B). The tutorial emphasizes the importance of dividing each term properly to achieve the correct solution.

What is the first step in isolating the variable Y in the equation?

• Add 3X to both sides

• Subtract 3X from both sides

• Multiply both sides by 4

• Divide both sides by 4

When dividing an equation by a number, what must you ensure?

• Only divide the constant term

• Divide each term individually

• Multiply each term by the same number

• Add the number to each term

Why is it important to divide each term individually when solving for Y?

• To increase the value of Y

• To ensure the equation remains balanced

• To simplify the equation

• To eliminate the variable X

What is the slope (M) in the final equation?

• -4/3

• 4

• -3/4

• 3

What is the y-intercept (B) in the final equation?

• 0

• 4

• 3

• -3