Answer:
Correct answer: sa · sb = 2/3 · (- 3/2) = - 1
Step-by-step explanation:
Given:
line A - (x₁, y₁) = (3, -4) and (x₂, y₂) = (6, -2)
line B - (x₁, y₁) = (-1, 5) and (x₂, y₂) = (1, 2)
The slope is calculated using the following formula:
s = (y₂ - y₁) / (x₂ - x₁)
sa = (-2 - (-4)) / (6 - 3) = (-2 + 4) / 3 = 2 / 3
sa = 2 / 3
sb = (2 - 5) / (1 - (-1)) = -3 / 2
when lines are perpendicular to each other then the slopes are in the next relationship:
sa · sb = - 1
we will check:
sa · sb = 2/3 · (- 3/2) = - 1
God is with you!!!
