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Arlecino [84]
3 years ago
11

Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

The equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

  • y = -3x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (2, -1)
  • Slope m = -3

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

  • y = -3x + 5
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Korvikt [17]

Given rate is = 7% or 0.07

Total amount needed = $12000

Time = 4 years

Here, the  deposit is  compounded semiannually, means twice per year and this gives 8 annual compounding periods in 4 years.

The equation becomes:

P= \frac{12000}{(1+\frac{0.07}{2})^{2.4}}

P = \frac{12000}{1.035^{8}}

Solving it, we get P = $ 9112.93

Hence $9112.93 should be deposited today.



3 0
3 years ago
Use the compound interest formula to compute the total amount accumulated and the interest eamed.
RideAnS [48]

Answer:

$12,137.39

Step-by-step explanation:

Use the Compound Amount formula:

A = P (1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times the interest is compounded each year, and t is the number of years.

Here, A = $9000(1 + 0.075/12)^(12*4), or

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7 0
3 years ago
Pleaaaseee helpppp!​
xxMikexx [17]

Y=x2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE!!
Anna71 [15]

Answer:

m = 2

Step-by-step explanation:

take 2 pairs from x

choose (1,5) and (2,7)

it will be m = 5 - 7

and in the bottom  1 - 2          it's a fraction

m = -2/-1

the numerator and denominator can't be both negative

so your answer is m= +2

m= slope

rate of change= slope

7 0
3 years ago
PLEASE HELP I GIVE THANKS
kari74 [83]
 Since the whole length of the rectangle is 8, and the line across isnt exactly in the middle, (but just a little bit farther than the 4 mark) ... Then the correct answer is:
 D. 4 1/2 units
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3 years ago
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