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Kipish [7]
3 years ago
8

Find the equation of a line with the given points.(put your answers in the form y=mx+b)(6,2)(5,5)

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

The slope-intercept form: y= mx + b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 2) and (5, 5). Substitute:

m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3

Therefore we have y = -3x + b.

Put the coordinates of the point (5, 5) to the equation:

5 = -3(5) + b

5 = -15 + b     <em>add 15 to both sides</em>

20 = b

<h3>Answer: y = -3x + 20</h3>
igomit [66]3 years ago
5 0

Answer:

y = -3x + 20

Step-by-step explanation:

(a) Slope

The <em>point-slope formula</em> for a straight line is

y₂ - y₁ = m(x₂ - x₁)     Insert the points  

2 - 5 = m(6 - 5)

    -3 = m×1

    m = -3

=====

(b) y-intercept

y₂ - y₁ = m(x₂ - x₁)

y₂ - 5 = -3(x₂ - 5)     Remove parentheses

y₂ - 5 = -3x₂ - 15       Add 5 to each side

      y = -3x + 20

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Step-by-step explanation:

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Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has
Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) =  \frac{3}{10}       (b)  P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c)  P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

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From the Question,

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(a) What is the probability that her next draw will be blue ?

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(b) What is the probability that her next draw will NOT be red?

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But we have to find

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(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

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Answer:

Step-by-step explanation:

1.

(c+9)^2=64=8^2\\

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either c=8-9=-1

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8x^2-3=2

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x=±\frac{\sqrt{10}}{4}

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so D

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