Graphing Lines in Standard Form: Ax + By = C

What is the standard form of a linear equation?

• y = mx + b

• ax + by = c

• x = ay + b

• y = ax + b

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

• Multiply both sides by the x term

• Add the x term to both sides

• Divide both sides by the y term

• Subtract the x term from both sides

After isolating the y variable, what should you do next?

• Add the x term to both sides

• Switch the order of terms on the right side

• Combine like terms

• Multiply both sides by the y term

What is the slope in the equation y = 3/4x + 2?

• 1/2

• 4/3

• 3/4

• 2

What does the y-intercept represent in the equation y = 3/4x + 2?

• The steepness of the line

• The point where the line crosses the x-axis

• The slope of the line

• The point where the line crosses the y-axis

What is the y-intercept in the equation y = 3/4x + 2?

• -2

• 2

• 3/4

• 0

What is the x-intercept of a line?

• The steepness of the line

• The point where the line crosses the x-axis

• The slope of the line

• The point where the line crosses the y-axis

What is common in all y-intercepts?

• The x-coordinate is always 1

• The x-coordinate is always 0

• The y-coordinate is always 1

• The y-coordinate is always 0

How can you tell if the intercepts will be integers?

• If the constant is a prime number

• If the constant is divisible by the coefficient of y

• If the constant is divisible by the coefficient of x

• If the constant is divisible by both coefficients

What are the intercepts of the equation 2x + 3y = 12?

• (0, 6) and (4, 0)

• (0, 4) and (6, 0)

• (0, 3) and (2, 0)

• (0, 2) and (3, 0)