Question

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

Answer 1

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! :)

Answer 2

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.