Graphing Lines in Standard Form: Key Concepts and Techniques

What is the standard form of a line?

• X = BY + C

• A + BX = CY

• Y = MX + B

• AX + BY = C

How do you find the Y intercept in standard form?

• Set Y to 1

• Set Y to 0

• Set X to 1

• Set X to 0

Tags

CCSS.HSF-IF.C.7A

What is the X intercept of the equation 4X + 6Y = 12?

• (0, 3)

• (3, 0)

• (0, 2)

• (2, 0)

Tags

CCSS.8.EE.B.5

How can the slope of a line in standard form be found?

• By setting X and Y to 0

• By converting to slope-intercept form

• By multiplying AX and BY

• By adding A, B, and C

Tags

CCSS.8.EE.B.5

What is the simplified slope of the equation 4X + 6Y = 12?

• 3/2

• 2/3

• -2/3

• -3/2

Why must A, B, and C be integers in standard form?

• To avoid fractions

• To make graphing easier

• To simplify the equation

• All of the above

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

• Set Y to 0

• Add the X term to both sides

• Multiply everything by the denominator of the slope

• Subtract the X term from both sides

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What happens if you multiply every term in the slope-intercept form by 3?

• None of the above

• It alters the intercepts

• It changes the slope

• It converts to standard form

Tags

CCSS.6.EE.C.9

What is the correct version of the equation after simplifying 4X + 6Y = 12?

• 4X + 6Y = 12

• X + 1.5Y = 6

• 2X + 3Y = 6

• X + Y = 3

Why is it important to have the simplest form of the equation in standard form?

• To graph the line quickly

• To maintain the lowest ratio of integers

• To find the intercepts easily

• To ensure A, B, and C are integers