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Paha777 [63]
3 years ago
13

What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

\frac{ -2 - 6}{5 + 5}  =  - \frac{8}{10}  =  - \frac{4}{5}

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in <em>Standard Form</em>:

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+⅘x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

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The correct null hypothesis in words is:

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The correct null hypothesis in words is:

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What is the difference 2x-3/3x^2-x+2/6x
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Now that the denominators are equal, we can distribute and multiply out.

\frac{12x^2-18x}{18x^3} -\frac{3x^3+6x^2}{18x^3}

With the fractions multiplied out, we can actually put it into one large fraction.

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This may seem like our final answer, but we can actually factor out an 3x in the numerator and denominator.

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With the 3x factored out, they cancel out because 3x/3x=1.

Our final answer is:

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