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3 years ago

A line passes through points (2,5) and (5, 14). What is the slope of this line?

Mathematics

1 answer:

topjm [15]3 years ago

7 0

We know that:

Slope of a line = change in y coordinate / change in x coordinate

We are given:

First point = (2,5)

Second point = (5, 14)

Calculating the change in y coordinate:

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

Calculating the change in x coordinate:

Δx = second x - first x

Δx = 5 - 2

Δx = 3

Slope of the line:

Slope = (Δy) / (Δx)

Slope = 9 / 3 [replacing the values]

Slope = 3

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Step-by-step explanation:

As per given description, we have

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Hence, the test statistic for this hypothesis test for a proportion= -1.78

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

Which graph represents the equation 12 = 32 + 4y? Explain how you know.

sergeinik [125]

What graph?
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3 years ago

Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the corre

rosijanka [135]

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

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2 years ago