Finding the Equation of a Line

Given two points (𝑥₁, 𝑦₁) and (𝑥₂, 𝑦₂) where 𝑥₁ ≠ 𝑥₂, which of the following shall be used to determine the equation of the line?

• 𝑦 = 𝑚𝑥 + 𝑏

• 𝑦 - 𝑦₁ = 𝑚(𝑥 - 𝑥₁)

Tags

CCSS.HSG.GPE.B.5

What is the slope of the line 𝑥 + 𝑦 = 3?

• -3

• -1

• 1

• 3

Tags

CCSS.HSA.REI.D.10

In the equation -3𝑥 + 𝑦 = 1, what is the 𝑦 - 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡?

• -3

• -1

• 1

• 3

What is the 𝑦 - 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 of the line 2𝑥 + 3𝑦 = -15?

• -5

• -2

• -2/3

• 3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

Which of the following pair of points have a slope of -2?

• (2, 4) 𝑎𝑛𝑑 (5, -2)

• (4, 2) 𝑎𝑛𝑑 (-2, 5)

• (2 ,5) 𝑎𝑛𝑑 (4, -2)

• (-2, 2) 𝑎𝑛𝑑 (4, 5)

Tags

CCSS.HSA.REI.C.6

The line 𝑦 - 8 = 34(𝑥 - 4) passes through which point?

• (-4 , - 8)

• (-4, 2 )

• (4, 8)

• (3, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which of the following equations is represented by the given graph?

• 𝑦 = 2𝑥 + 3

• 𝑦 = 2𝑥 - 3

• 𝑦 = 3𝑥 + 2

• 𝑦 = 3𝑥 - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the slope (𝑚) and y – intercept (𝑏) of the equation 𝑦 = 2𝑥 - 4?

• 𝑚 = 4 𝑎𝑛𝑑 𝑏 = 2

• 𝑚 = 2 𝑎𝑛𝑑 𝑏 = – 4

• 𝑚 = – 4 𝑎𝑛𝑑 𝑏 = 2

• 𝑚 = 2 𝑎𝑛𝑑 𝑏 = 4

Tags

CCSS.HSF.IF.C.7

What is the slope of a line if it contains the points (-2, 3) 𝑎𝑛𝑑 (2, -3)?

• -3/2

• -2/3

• 2/3

• 3/2

Tags

CCSS.HSS.ID.C.7

What is the equation of a line that passes through the points (0, 5) and (2, 2)?

• 𝑦 = -2⁄3 𝑥 + 5

• 𝑦 = 2⁄3 𝑥 + 5

• 𝑦 = 3⁄2 𝑥 + 5

• 𝑦 = -3⁄2 𝑥 + 5

Tags

CCSS.HSA.CED.A.2