Answer:
o RS¯¯¯¯¯ , where R is at (3, −4) and S is at (8, −6)
o VW¯¯¯¯¯¯ , where V is at (14, 5) and W is at (4, 9)
Step-by-step explanation:
Solve for each slope of the given line segments. For Line PQ, the slope if 5/2. To find the segment that is perpendicular to PQ, the slope must be -2/5.
Use the following equation:
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let: RS¯¯¯¯¯ , where R is at (3, −4) and S is at (8, −6)
(x₁ , y₁) = (3, -4) & (x₂ , y₂) = (8, -6)
Plug in the corresponding numbers to the corresponding variables:
m = (-6 - (-4))/(8 - 3)
m = (-6 + 4)/(8 - 3)
m = (-2)/(5)
m = -2/5
RS¯¯¯¯¯ , where R is at (3, −4) and S is at (8, −6) is an answer choice.
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (14, 5) & (x₂ , y₂) = (4, 9)
Plug in the corresponding numbers to the corresponding variables:
m = (9 - 5)/(4 - 14)
m = (4)/(-10)
m = -2/5
VW¯¯¯¯¯¯ , where V is at (14, 5) and W is at (4, 9) is an answer choice.
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (2 , -5) & (x₂ , y₂) = (4 , -10)
Plug in the corresponding numbers to the corresponding variables:
m = (-10 - (-5))/(4 - 2)
m = (-10 + 5)/(2)
m = -5/2
XY¯¯¯¯¯¯ , where X is at (2, −5) and Y is at (4, −10) is NOT an answer choice.
Let:
(x₁ , y₁) = (0 , 2) & (x₂ , y₂) = (2 , 7)
Plug in the corresponding numbers to the corresponding variables:
m = (7 - 2)/(2 - 0)
m = (5)/(2)
m = 5/2
TU¯¯¯¯¯ , where T is at (0, 2) and U is at (2, 7) is NOT an answer choice.
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Answer:
It is RS, the slope is the negative form of 5/2.
And also VW
Step-by-step explanation:
I put it into a slope form, and put it into a graphing calculator.
