Determining Slope and Y-Intercept from Standard Form Equations

What is the main goal of the problem discussed in the video?

• To convert the equation to standard form

• To solve for x

• To rewrite the equation and identify the slope and y-intercept

• To find the value of the constant

Why is it easier to identify the slope and y-intercept in slope-intercept form?

• Because it is the simplest form

• Because the slope and y-intercept are directly visible

• Because it involves fewer steps

• Because it is the standard form

What is the first step in converting the equation to slope-intercept form?

• Multiply both sides by 18

• Add 7x to both sides

• Undo addition and subtraction to the variable y

• Divide by 18

Why do we write -7x - 3 instead of -3 - 7x?

• To avoid confusion

• To follow the standard form

• To make the equation simpler

• To keep the variable in front of the constant

What operation is used to undo the multiplication of y by 18?

• Division

• Multiplication

• Subtraction

• Addition

What is the next step after dividing both sides by 18?

• Combine like terms

• Multiply both sides by 18

• Leave the answer as it is

• Simplify each term separately

How do you simplify the term -3/18?

• -1/6

• -1/2

• -1/9

• -1/3

What is the slope of the equation after converting to slope-intercept form?

• 1/6

• -1/6

• 7/18

• -7/18

What is the y-intercept of the equation after converting to slope-intercept form?

• -7/18

• -1/6

• 1/6

• 7/18

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

• y = -7/18x - 3

• y = -7x - 3

• y = -7/18x - 1/6

• y = -7x/18 - 3/18