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Ira Lisetskai [31]
3 years ago
10

Determine the equation in Point-Slope Form, Slope-Intercept Form, and Standard form of a line that passes through point (5,1) wi

th a slope of - 2/3. Select the three different answers that are correct.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

Point-slope equation for line of slope -⅔ that passes through (5, 1):

y-1 = -⅔(x-5)

Rearrange to solve for y:

y = -⅔(x-5)+1

y = -⅔x + 13/3 Slope-intercept form

⅔x + y = 13/3

2x + 3y = 13 standard form

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What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
Alchen [17]
<h3>Answer:  -3/4  (choice C)</h3>

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

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-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

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Step-by-step explanation:

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