Question

I need help with this

Answer 1

Option A

Explanation:

Two parallel lines have the same slope

This means the line of interest in this question (
`L_(2)`) will have the same slope as that of the line
`L_(1)` containing points
`(9, 3)` and
`(-3, 8)`

m = slope

=
`(y_(2) - y_(1))/(x_(2) - x_(1))`

OR

`(y_(1) - y_(2))/(x_(1) - x_(2))`

Substitute the x- and y-coordinates of the provided points in the above formula:

m =
`(8 - (-3))/(-3-9)`

=
`(8 + 3)/(-3 - 9)`

=
`= (11)/(-12)`

∴
`m_{L_(2)}` =
`-(11)/(12)`

∴Option A

Answer 2

Answer: -11/12

Step-by-step explanation: We can use the slope formula to solve for a line that is parallel. Slope= (x1, y1) / (x2, y2)

slope = (8 - (-3)) / (-3 - 9) = 11 / (-12) = -11/12

So the slope of the line is going to be -11/12