Question

Anyone! Please help me! I don't understand at all what to do! Help would be really appreciated :)

Determine if the lines are parallel or perpendicular:
The line through (5, 2) and (-3, 1) AND The line through (-1, -2) and (15, 0)
Show your work and/or explain your reasoning.

Answer 1

Answer: They are parallel

Step-by-step explanation:

If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.

To check this , we must calculate the slope of the two lines given.

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

from the first point

$y_{1}$ = 2

$y_{2}$ = 1

$x_{1}$ = 5

$x_{2}$ = -1

substituting the values

slope 1 = 1 - 2 / -3 - 5

slope1 = -1 / -8

slope 1 = 1/8

Using the same format to calculate the slope of the second line

$y_{1}$ = -2

$y_{2}$ = 0

$x_{1}$ = -1

$x_{2}$ = 15

slope 2 = 0 - (-2) / 15 - (-1)

slope 2 = 2/16

slope 2 = 1/8

Since slope 1 = slope 2 , this implies that the lines are parallel