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3 years ago

What is the equation of the line that passes through (6,4) and (4,1)

Mathematics

1 answer:

Murrr4er [49]3 years ago

3 0

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula ---> m=(y2-y1)/(x2-x1)

Replacing the given points ---> m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

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3 years ago

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Lina20 [59]

Answer:

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Step-by-step explanation:

Step 1: Determine the area of the black area

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2 years ago

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Step-by-step explanation:

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3 years ago

the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false

Neporo4naja [7]

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

5 0

3 years ago

Read 2 more answers

Which of the binomials below is a factor of this trinomial?

KiRa [710]

Answer:

D. x + 4

Step-by-step explanation:

Let's factor the trinomial:

x² + 14x + 40 =
x² + 4x + 10x + 40 =
x(x + 4) + 10(x + 4) =
(x + 4)(x + 10)

x + 4 is between the answer options

Correct option is D.

6 0

3 years ago