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vodka [1.7K]
3 years ago
7

What is an equation of the line that passes through the points (−6,−2) and (6, 8)

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Answer: y=\frac{5}{6}x+3

Step-by-step explanation:

To find the equation of the line with the given points, we want to first find the slope then the y-intercept. We use the formula m=\frac{y_2-y_1}{x_2-x_1}.

m=\frac{8-(-2)}{6-(-6)} =\frac{10}{12}=\frac{5}{6}

Now that we know the slope, we can use one of the points to find the y-intercept.

8=\frac{5}{6}(6)+b            [multiply]

8=5+b                 [subtract both sides by 5]

b=3

Now, we know the equation is y=\frac{5}{6}x+3.

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The measure of each angle in the triangle
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M of A = x
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By the angle sum property of a triangle, we know that all the angles of a triangle add up to 180 degrees.

Thus we can create a linear equation

x + 2x-7 + 2x+2 = 180
4x = 185
x = 185/4
x = 46.25

Thus
m of A = 46.25
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Step-by-step explanation:

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3 years ago
Two numbers are in a ratio 3:5. If the difference between the two number is 24 find the number
Rudik [331]
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5 0
3 years ago
15 - 3k = 10(k-5) <br> Can someone please answer this
solmaris [256]

Answer:

k = 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

15 - 3k = 10(k - 5)

<u>Step 2: Solve for </u><em><u>k</u></em>

  1. Distribute 10:                              15 - 3k = 10k - 50
  2. Add 3k to both sides:                15 = 13k - 50
  3. Add 50 to both sides:                65 = 13k
  4. Divide 13 on both sides:            5 = k
  5. Rewrite:                                       k = 5

<u>Step 3: Check</u>

<em>Plug in k into the original equation to verify it's a solution.</em>

  1. Substitute in <em>k</em>:                    15 - 3(5) = 10(5 - 5)
  2. Subtract:                              15 - 3(5) = 10(0)
  3. Multiply:                               15 - 15 = 0
  4. Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ k = 5 is a solution of the equation.

5 0
3 years ago
Read 2 more answers
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