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

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).