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Evgesh-ka [11]
3 years ago
9

Write the equation on the line passing through the two points (-2,11) and (5,-3)

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 11) and (x₂, y₂ ) = (5, - 3)

m = \frac{-3-11}{5+2} = \frac{-14}{7} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 11), then

11 = 4 + c ⇒ c = 11 - 4 = 7

y = - 2x + 7 ← equation of line

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frosja888 [35]
Short answer 34/13
Start by converting both to improper fractions.

8 1/2 = (2*8 + 1)/2 = 17/2

3 1/4 = (3*4 + 1)/4 = 13/4

Next set up a 4 layer fraction

\dfrac{\dfrac{17}{2}}{\dfrac{13}{4} }

Invert the lower fraction and multiply\dfrac{17}{2}* \dfrac{4}{13}

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5 0
3 years ago
Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

7 0
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= -7/2

4 0
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Answer: girl no

Step-by-step explanation:

3 0
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if a number line plot starts from 2 (including the point) and extends towards positive infinity, the corresponding inequality is
murzikaleks [220]

Answer:

2 \leqslant y \leqslant  \infty

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y is equal to 2 and goes up to infinity

6 0
2 years ago
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