Show whether the pair of lines is parallel, perpendicular, or neither and indicate which. 2x+3y=4 and 2y=3x+17

Step-by-step explanation:

Hey there!

Here,

The equations are;

2x+3y = 4

2x+3y-4=0..........(i).

2y = 3x + 17

3x -2y +17 =0.......(ii).

Now,

From equation (i).

Put values.

Therefore the slope is-2/3.

From equation (ii).

Put value.

Therefore the slope is 3/2.

For, parallel lines;

m1= m2

-2/3 is not equal to 3/2.

So, they are not parallel lines.

For, perpendicular lines;

m1 × m2 = -1

After simplifying it we get, (-1).

Therefore they are perpendicular to eachother.

Hope it helps...

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step-by-step explanation: