Question

Tell whether the lines for each pair of equations are parallel,perpendicular,or neither.

Answer 1

Answer:

The lines for each pair of equations are perpendicular, because the slopes for both of these have negative reciprocals.

Step-by-step explanation:

-5x+10y=5

x-2y=-1

2y=x-(-1)

2y=x+1

y=1/2x+1/2

Answer 2

Answer:

Both of the lines are parallel.

Step-by-step explanation:

Solve for x.

Plug in the value of y into the equation.

y= -2x+4

-5x+10y=5

-5x + 10(-2x+4) = 5

-5x - 20x + 40 = 5

               -40      -40

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-5x - 20x = 5 - 40

-5x - 20x = -35

-25x = -35

÷ -25   ÷ -25

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x = 1.4

Solve for y.

Plug in the value of x into the equation.

y= -2x+4

y = -2(1.4) + 4

y = -2.8 + 4

y = 1.2

Solve.

Plug in both the x an y values.

-5x+10y=5

-5(1.4) + 10(1.2) = 5

-7 + 12 = 5

5 = 5