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2 years ago

What is the equation of the line that passes through (-2, 2) and (1, -4)?

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Answer:

y = - 2x - 2

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = $\frac{-4-2}{1+2}$ = $\frac{-6}{3}$ = - 2, thus

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

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

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

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Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5

zavuch27 [327]

The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
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3 years ago

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GuDViN [60]

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3 years ago

An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-t

notsponge [240]

Answer:

2.542

Step-by-step explanation:

Given the data :

Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)

A 6 8 2

B 5 5 0

C 10 10 0

D 7 10 3

E 6 8 2

F 5 6 1

G 2 8 6

This is a paired test as each subject has two different data values :

Difference in score, d :

dbar = Σd / n

dbar = (2+0+0+3+2+1+6) /

dbar = 14 / 7

dbar = 2

Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]

Using calculator ; Sd = 2.082

Test statistic = dbar ÷ (Sd/√n)

Test statistic = 2 ÷ (2.082 / 7)

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The statistic = 2.5415

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2 years ago

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xeze [42]

Answer:

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Step-by-step explanation:

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2 years ago

A survey was conducted on the types of shoes worn by teachers at South Kitsap high school. The Venn diagram below summarizes the

Sophie [7]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

So to calculate the probability of the conjunction of two events we will substitute in the following formula:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Replacing:

P(wearing brown shoes or tennis shoes U sneakers)=(30+58-8)/100

P(wearing brown shoes or tennis shoes U sneakers)=80/100

P(wearing brown shoes or tennis shoes U sneakers)=0.8

Finally we obtain that the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers is 0.80.

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6 months ago