Understanding Slope-Intercept Form

The video tutorial explains how to convert a line equation from standard form to slope-intercept form. It begins by isolating the Y value, subtracting 2x from both sides, and then dividing by negative 3 to achieve the slope-intercept form. The tutorial concludes with a brief mention of additional resources for further learning.

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

• Divide both sides by 2

• Multiply both sides by 3

• Subtract 2x from both sides

• Add 2x to both sides

What is the standard form of a line equation?

• Ax - By = C

• Ax + By = C

• y = mx + b

• x = my + b

Why do we subtract 2x from both sides of the equation?

• To isolate the Y variable

• To simplify the equation

• To find the slope

• To eliminate the x variable

What is the result of subtracting 2x from both sides of the equation?

• 2x is added to the equation

• The equation becomes balanced

• 2x is eliminated from the equation

• The equation becomes unbalanced

What operation is performed after subtracting 2x to further isolate Y?

• Add 3 to both sides

• Multiply by negative 3

• Subtract 10 from both sides

• Divide by negative 3

What happens to the signs of the terms when dividing by a negative number?

• They cancel out

• They remain the same

• They become positive

• They become negative

What is the opposite operation of multiplying by negative 3?

• Subtracting 3

• Adding 3

• Multiplying by 3

• Dividing by negative 3

How do you keep an equation balanced when performing operations?

• Only change one side of the equation

• Subtract a constant from one side

• Perform the same operation on both sides

• Add a constant to one side

What is the slope of the line in the final slope-intercept form?

• -3/2

• 3/2

• -2/3

• 2/3

What does the 'B' represent in the slope-intercept form of a line equation?

• The y-intercept

• The midpoint of the line

• The x-intercept

• The slope of the line