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ra1l [238]
3 years ago
13

How do you find your equation of the line of where your point (coordinates) is on an x and y number line

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0
First find the slope

Let’s use these points as an example (8,4) and (6,2)

Slope equation is = Y-y/x-x
So
4-2/8-6 Which is 2/2 which is 1


Then you put that into the line equation

The well known equation is y=sx+b
Where s is slope, y is the y coordinate and x is the x coordinate

So it would be y=1x + b

Then you put your coordinates in. You can choose any so let’s choose the coordinates (8,4)

Btw we are finding b from the equation y=sx+b <=
^
|

8=1 times 4 + b
8=4+b
b=4

And there you go, the equation is

Y= x+4

For the points (8,4) and (6,2)

I really hope this helps, instead of making you even more confused



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5 less than a number is equivalent to 1 more than three times the number<br><br> The number is ??
givi [52]

Answer:

-3

Step-by-step explanation:

Let x equal the mystery number

Our equation will be:

x - 5 = 1 + 3x

Subtract x from both sides

-5 = 1 + 2x

Subtract 1 from both sides

-6  = 2x

Divide both sides by 2

-3 = x

4 0
3 years ago
how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?
Rashid [163]

Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

A= Pe^{rt}

A is the final amount

P is the initial amount

r is the rate of interest

t is the number of years

900 = 300e^{0.035*t}

Divide both sides by 300

3 =e^{0.035*t}

take 'ln' on both sides

ln(3) =ln(e^{0.035*t})

ln(3) = 0.035t ln(e)

ln(e)= 1

\frac{ln(3)}{0.035} = t

t= 31.3889

Round to nearest whole number

t= 31 years


4 0
3 years ago
Je Senah
ss7ja [257]

Answer:

B (1,0)

Step-by-step explanation:

5 0
3 years ago
In New England, 84% of the houses have a garage and 65% of the houses have a
Anuta_ua [19.1K]

Answer:

77%

Step-by-step explanation:

6 0
3 years ago
Which are the solutions of x2 = –13x – 4?
AnnyKZ [126]

x=(13±3√17)/2x

≈ 12.68465843, 0.31534156

Which would be 12.7 and 0.3 If you rounded to the nearest tenth.

5 0
3 years ago
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