Question

Do you think it be possible to help me out with this question

Answer 1

Step-by-step explanation:

A perpendicular line will have the opposite and reciprocal slope.

The slope of the given line is -2.5, which can also be written as:

`-2.5=-(2)/(5)`

A perpendicular line will have a slope of:

`(5)/(2)=0.4`

Line A has this slope, so it's perpendicular.

Line B can be rewritten as:

`\begin{gathered} -2x+5y=8 \\ 5y=2x+8 \\ y=(2)/(5)x+(8)/(5) \end{gathered}`

This line is not perpendicular.

Line D can be rewritten as:

`\begin{gathered} 2y=5x+1.5 \\ y=(5)/(2)x+(1.5)/(2) \end{gathered}`

This line is perpendicular to the given line.

And line C has a slope of 2/5, so it's not perpendicular.

Answer:

Lines B and C are not perpendicular