Transforming Equations to Slope-Intercept Form

The video tutorial explains how to solve systems of equations by graphing, focusing on rewriting equations in slope-intercept form. It covers the components of the form, such as the slope and y-intercept, and provides two detailed examples of converting equations into slope-intercept form.

What is the primary goal when rewriting an equation in slope-intercept form?

• To get y on one side and everything else on the other

• To ensure the equation has no negative numbers

• To eliminate all variables except x and y

• To isolate x on one side of the equation

What does the 'm' in the slope-intercept form represent?

• The slope or steepness of the line

• The maximum value of y

• The x-intercept of the line

• The y-intercept of the line

In the equation 'y = mx + b', what does 'b' stand for?

• The maximum value of x

• The x-intercept

• The y-intercept where the line crosses the y-axis

• The slope of the line

How do you rearrange '3x - y = 6' to slope-intercept form?

• y = -3x + 6

• y = 3x - 6

• y = 3x + 6

• y = -3x - 6

What is the slope of the equation 'y = 3x - 6'?

• 6

• -3

• -6

• 3

What is the y-intercept of the equation 'y = 3x - 6'?

• 6

• -6

• -3

• 3

After adding '10x' to both sides of '4y - 10x = 20', what is the correct next step?

• Rearrange the terms to place the x term first

• Subtract 20 from both sides

• Multiply every term by 2

• Divide every term by 4

What is the slope of the equation 'y = 5/2x + 5'?

• 10

• 5/2

• 2/5

• 5

What is the y-intercept of the equation 'y = 5/2x + 5'?

• 2/5

• 5/2

• 5

• 10

Why is it important to rewrite equations in slope-intercept form?

• To identify the equation's maximum and minimum points

• To make it easier to solve for x

• To eliminate the y variable

• To simplify the equation for graphing