Tell whether the lines of the pair of equations are parallel, perpendicular, or neither. y= -3/4x+2 3x-4y=-8 a. parallel b. perpendicular c. neither

neither

Explanation:
Before we begin, note the following:
For two lines to be parallel, their slopes have to be equal
For two lines to be perpendicular, the product of their slopes has to be -1

Now, for the given:
The general form of the linear equation is:
y = mx + c where m is the slope and c is the y-intercept

For the first given equation:
y = -3/4 x + 2
By comparing with the standard form, we can note that:
slope = -3/4

For the second given equation:
3x - 4y = -8
Putting it in the standard form:
4y = 3x + 8
y = 3/4 x + 2
By comparing with the standard form, we can note that:
slope = 3/4

Now, let's check:
we have:
m1 = -3/4
m2 = 3/2

m1 is not equal to m2 .......> lines are not parallel
m1 * m2 = -3/4 * 3/4 = -9/16 which is not equal to -1 .....> lines are not perpendicular

The graph of the two lines is shown in the attached image

Hope this helps :)

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