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klasskru [66]
2 years ago
14

Given two equations of lines : y=-2x+4 and -2y= 4x-8 how do the lines compare

Mathematics
2 answers:
Gelneren [198K]2 years ago
8 0

Answer:

The lines are the same if you divide both sides by -2 for the equation:-2y=4x-8 to get a slope formula. As you can see, after doing that, the equations are the same.

Step-by-step explanation:

y=-2x+4

-2y=4x-8

-2y/-2=(4x-8)/2

y=-2x+4

dem82 [27]2 years ago
5 0

Answer:

They are the same line

Step-by-step explanation:

When you have equations of line and want to compare them, make sure the y is isolated (by itself)

the second equation -2y = 4x-8 is not isolated

To isolate, divide both sides by -2

\frac{-2y}{-2} =y

\frac{4x-8}{-2} = -2x+4

Now you have y=-2x+4, which is the same equation as the first!

(remember that if you divide a negative number by a negative number, you will get a positive one)

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If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?
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Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

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Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

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Δy = 9

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Next, we shall determine the second coordinates as follow:

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Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

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For y–coordinate:

y₁ = –16

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Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

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