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I need it step by step please​

I Need It Step By Step Please class=

Sagot :

Answer: None of the lines are parallel to one another

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Explanation:

Solve each equation for y

Line a:

4y+x = 8

4y = -x+8

y = (-x+8)/4

y = (-x/4) + (8/4)

y = (-1/4)x + 2

This equation is in the form y = mx+b with slope m = -1/4

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Line b:

2y+x = 4

2y = -x+4

y = (-x+4)/2

y = (-x/2) + (4/2)

y = (-1/2)x + 2

The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).

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Line c:

2y = -3x+6

y = (-3x+6)/2

y = (-3x/2) + (6/2)

y = (-3/2)x + 3

The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.

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In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.

View image jimthompson5910
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