The graph of which of the following equations is a line parallel ot the graph of x-5y=8

Parallel lines are lines that have the same slope. The line of is parallel to the line of

Given that:

Make y the subject

Divide both sides by 5

A linear equation is represented as:

Where:

slope

So:

For two lines to be parallel to , they must have the same slope (m)

Of the given options

(a) x+5y=8   (b) 5x-y=8    (c) 2x+10y=8   (d) 2x-10y=8

Only  has the same slope as and the proof is as follows:

Make y the subject

Divide by -10

The slope (m) of the above line is:

The slope of the two lines are

Hence, is parallel to the line of

Read more about parallel lines at:

link

cheater

step-by-step explanation: