Question

I need help solving this problem and knowing how to solve this problem.

Answer 1

See below

Explanation:

An equation of a straight line is written in the slope-intercept form:

`y = mx + c`

Where:

m = slope

c = y- intercept

By comparing the equation of the given line with the above general equation, the slope of this line =
`-1`. (i.e.
`m_{l_(1)}` =
`-1`)

1. When a line is perpendicular to another line, the product of their slopes is equal to
`-1`:

`m_{l_(1)}` ×
`m_{l_(2)}` =
`-1`

=
`(-1)` ×
`m_{l_(2)}` =
`-1`

=
`m_{l_(2)}` =
`(-1)/(-1)`

∴
`m_{l_(2)}` = 1

2. A line parallel to another line will have the same slope.

∴
`m_{l_(2)}` =
`-1`