Tell whether the lines for each pair of equations are parallel, perpendicular, or neither y = -1/4x + 8 -2x + 8y = 4 a) parallel b) perpendicular c) neither

C)  Neither

Step-by-step explanation:

y = -1/4x + 8

-2x + 8y = 4

To compare the slopes  we need to convert the second equation to the same form as the first ( that is slope/intercept form).

-2x + 8y = 4

8y = 2x + 4

Divide through by 8:-

y = 1/4 x + 1/2

The slope of the first line is -1/4 and its  1/4 for the second line.

If the slopes were the same the lines would be parallel and if they were perpendicular  their product would be = -1.

The product is 1/4 * -1/4 = -1/16

So they are neither parallel nor perpendicular.

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step-by-step explanation:

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the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.