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3 years ago

A line passes through (-2, 7) and (3, 2).

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

$\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}$

Slope of the line :

$\large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}$

$\dfrac{7 - 2}{ - 2 - 3}$

$\dfrac{ 5}{ - 5}$

$- 1$

therefore, m = slope = -1

The equation of the line will be :

y = mx + b

y = (-1 × x) + b

y = -x + b

Now, let's plug the value of x and y from coordinates of second point,

$y = - x + b$

$2 = - 3 + b$

$b = 5$

Hence, the required values are :

$\boxed{m = - 1}$

$\boxed{ \: \: \: b = 5 \: \: \: }$

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

amm18123 years ago

4 0

Answer:

m = - 1

b = 5

Step-by-step explanation:

$slope, m= \frac{2-7}{3--2}= \frac{-5}{5}= -1\\\\equation : (y-y_1)= m(x-x_1)$

$(y-7) = -1(x--2)\\y-7 = -1(x+2)\\y = -1x-2+7\\y= -1x+5$

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Step-by-step explanation:

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3 years ago

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An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What i

Gekata [30.6K]

The effective annual yield is 3.04%

What is effective annual yield?

Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.

The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year

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Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12

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2 years ago

Consider the equation 4x + 1 = 2x + 5

Darya [45]

(a) Without solving the equation we can't determine whether its true or false.

(b) If x = 3

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3 years ago

An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in water weight are uniformly dist

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Answer:

Standard deviation of the weight over a day is 1.15

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Substituting the values,

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Dividing the fraction by 4,

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Substituting the value,

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3 years ago

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