Converting Standard Form to Slope Intercept Form

The video tutorial explains how to convert equations from standard form to slope-intercept form, which is useful for graphing. It covers several problems, demonstrating the process of isolating the y variable and simplifying the equation. The tutorial emphasizes careful handling of negative signs and division, providing step-by-step solutions to ensure clarity.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = ax + b

• y = bx + c

• y = cx + d

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

• The constant term

• The x-intercept

• The slope

• The y-intercept

What is the first step in converting the equation y - x = 25 to slope-intercept form?

• Multiply both sides by x

• Subtract x from both sides

• Divide both sides by x

• Add x to both sides

After converting y - x = 25, what is the slope of the line?

• -1

• 1

• 25

• -25

In the equation -y + 4x = 12, what is the next step after moving 4x to the right side?

• Add 4x to both sides

• Subtract 4x from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the final slope-intercept form of the equation -y + 4x = 12?

• y = 4x - 12

• y = -4x + 12

• y = 4x + 12

• y = -4x - 12

When converting 2x + 40y = 80, what is the first step?

• Divide both sides by 2

• Subtract 2x from both sides

• Multiply both sides by 2

• Add 2x to both sides

What is the simplified form of the slope in the equation y = -1/20x + 2?

• -1/20

• 1/20

• -20

• 20

In the equation -7y = -5x - 28, what is the next step after moving -5x to the right side?

• Divide both sides by -7

• Multiply both sides by -7

• Subtract 5x from both sides

• Add 5x to both sides

What is the final slope-intercept form of the equation -7y = -5x - 28?

• y = 5/7x - 4

• y = -5/7x + 4

• y = 5/7x + 4

• y = -5/7x - 4