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Marysya12 [62]
3 years ago
7

Choose the equation that represents a line that passes through points (-3, 2) and (2, 1).

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

x + 5y = 7 or y = -⅕x + 1⅖

Step-by-step explanation:

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

-y₁ + y₂\-x₁ + x₂ = m

- \frac{2 + 1}{3 + 2} =  -\frac{1}{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 - 1 = -⅕(x - 2)

y - 1 = -⅕x + ⅖

+ 1 + 1

_______________

y = -⅕x + 1⅖ >> Line in <em>Slope-Intercept Form</em>

Since this exercise wants it in <em>Standard Form</em>:

y = -⅕x + 1⅖

+⅕x +⅕x

___________

⅕x + y = 1⅖ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅕x + y = 1⅖]

x + 5y = 7 >> Line in <em>Standard Form</em>

__________________________________________________________

y - 2 = -⅕(x + 3)

y - 2 = -⅕x - ⅗

+ 2 + 2

______________

y = -⅕x + 1⅖ >> Line in <em>Slope-Intercept</em><em> </em><em>Form</em>

y = -⅕x + 1⅖

+⅕x +⅕x

___________

⅕x + y = 1⅖ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅕x + y = 1⅖]

x + 5y = 7 >> Line in <em>Standard Form</em>

** 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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In this case:
(h,k) =(0,0)   (h=0,k=0 )
r=4

Therefore:
(x-0)²+(y-0)²=4²
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3 0
3 years ago
Will report you if not answered correctly <br>will mark brainliest.​
olga nikolaevna [1]

there are links so I could not put them in directly  but hope my sticker not helps I tried my best

5 0
2 years ago
Please help ASAP. Need it for homework
Slav-nsk [51]
Speedy Taxis
you will put 30 instead of X in each equation and see which one is the cheapest
you put 30 beacuse it is said 30 miles and also said That X is the mile
Do you understand?
6 0
3 years ago
Pls help me, cause I don't understand one bit of it at all​
topjm [15]

Answer:

I promise you this is easier than it looks, just bare with me.

You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.

5 8/11

Convert the fraction to a decimal: Divide the numerator by the denominator.  (8 divide by 11).

Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)

It would be 5.72

Now 57/10

The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)

It would be 5.7

Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:

5.72

5.7

5.67

5.726

Now since they all have the same whole number, we just have to look at the numbers after the decimal.  Well the least number we have here is "7". Then it would be 67, then 72, then 726.

So the answer would be from least to greatest:

5.7

5.67

5.72

5.726

I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3

Have a good night/day (:! Much love!

8 0
3 years ago
Does anyone know how to do this!!!!
MA_775_DIABLO [31]
I cannot see it good
8 0
3 years ago
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