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please anyone help me with this question i need it ASAP!! all it’s asking if the following lines parallel or perpendicular or neither. please anyone help meee

please anyone help me with this question i need it ASAP!! all it’s asking if the following-example-1
User Killjoy
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2 Answers

5 votes

Answer: Neither.

Step-by-step explanation: I believe it's neither because I plotted the given points below and it gave me this for the result:

Hope this helps! :)

please anyone help me with this question i need it ASAP!! all it’s asking if the following-example-1
User Aleksandr Panzin
by
8.3k points
5 votes

Answer:

Neither

Explanation:

To determine whether the lines AB and CD are parallel, perpendicular, or neither, we can analyse their slopes.

The formula for calculating the slope (m) between two points (x₁, y₁) and (x₂, y₂) is:


\boxed{m = (y_2 - y_1)/(x_2 - x_1)}

To determine the slope of line AB, substitute A(6, 5) and B(3, -1) into the slope formula:


m_(AB) = (y_B-y_A)/(x_B-x_A)=(-1 - 5)/(3 - 6) = (-6)/(-3) = 2

To determine the slope of line CD, substitute C(2, -5) and D(-4, 7) into the slope formula:


m_(CD) = (y_D-y_C)/(x_D-x_C)=(7-(-5))/(-4-2) = (12)/(-6) = -2

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if the product of their slopes is -1 (negative reciprocals).

In this case, since the slopes of lines AB and CD are not equal, and the product of their slopes is not equal to -1, the lines are neither parallel nor perpendicular.

User Yavor Atov
by
9.2k points

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