Finding Equation of a Line with Two Points

Write equation of the line containing (2,6) and (3,1)

• y = 5x - 14

• y = -5x - 14

• y = -5x + 16

• y = -5x + 6

Mathematical Equivalence

ON

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

What is the equation of a line that passes through the points (1, 3) 𝑎𝑛𝑑 (-2, 5)?

• 2𝑥 + 3𝑦 = 11

• 2𝑥 - 3𝑦 = 11

• -2𝑥 + 3𝑦 = 11

• 3𝑥 + 2𝑦 = 11

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)

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

• 𝑦 = 2𝑥 + 3

• 𝑦 = 2𝑥 - 3

• 𝑦 = 3𝑥 + 2

• 𝑦 = 3𝑥 - 2

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

• Find the slope of AB

• Find the distance of BC

• Find the midpoint of AB

• Use negative reciprocal of the slope of AB

When we are finding equations for medians, altitudes, and perpendicular bisectors, we are really just finding equations of _______________________