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

The video tutorial explains how to convert an equation into slope-intercept form, isolate the variable Y, and identify the slope and Y-intercept. The process involves adding and dividing to simplify the equation, resulting in a clear understanding of the slope as the change in Y over X and the Y-intercept as a coordinate point.

What is the primary goal when converting an equation to slope-intercept form?

• To solve for x

• To find the x-intercept

• To isolate the variable y

• To eliminate all variables

What operation is performed first to isolate the variable y in the equation 2y = 3x - 6?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 2

• Divide both sides by 3

After adding 6 to both sides of the equation, what is the next step to isolate y?

• Divide by 2

• Subtract 3

• Add 2

• Multiply by 3

What is the slope of the equation y = (3/2)x + 3?

• 3/2

• 2

• 1/2

• 3

How can the y-intercept of the equation y = (3/2)x + 3 be represented as a coordinate?

• (3, 0)

• (0, 3)

• (0, 0)

• (3, 3)