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3 years ago

What is an equation for the line that passes through the points (-2,3) and (2,1)?

Mathematics

2 answers:

Nastasia [14]3 years ago

3 0

Answer:

y = -1/2x + 2

Step-by-step explanation:

Vsevolod [243]3 years ago

3 0

Answer:

y = -0.5x + 2

Step-by-step explanation:

In order to find the equation of a line given two coordinates, you must first find the slope of the equation.

y = mx + b

To find slope (m), use the equation below:

Slope = (y2 - y1 ) / (x2 - x1 )

(2, 1)

(-2, 3)

y2 = 1

y1 = 3

x2 = 2

x1 = -2

Slope = (1 - 3) / (2 - -2) = (-2) / (4) = -0.5

y = -0.5x + b

Next, plug in one coordinate in order to solve for b:

Let's plug in the numbers (-2,3)

3 = -0.5 (-2) + b

b = 3 - 1 = 2

Line's equation =

y = -0.5x + 2

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The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .

Sphinxa [80]

Answer:

Reference angle: $\frac{\pi}{2}$

$tan(\theta)=tan(\frac{3\pi}{2})$ is not defined.

Step-by-step explanation:

The angle $\theta$ goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

$\frac{3\pi}{2}-\pi=\frac{\pi}{2}$

We know that $tan(\theta)$ is:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

If $\theta=\frac{3\pi}{2}$ then $cos(\frac{3\pi}{2})=0$ , therefore $tan(\frac{3\pi}{2})$ is not defined, because the division by 0 is not defined.

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3 years ago

What do you call the formula y =Mx+b

nikklg [1K]

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Step-by-step explanation:

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4 years ago

I need help fast i have 4 questions

Leya [2.2K]

Number 1 is D becuase porportional should have a intercept of 0,0 in the origin and number D is correct

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3 years ago

Julia needs 45 yards of fabric for 9 costumes how many yards does she need per costume

Advocard [28]

45 yards / 9 costumes = 5 yards per costume

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3 years ago

Read 2 more answers

Charlie run at a speed of 3 yards per second about how many miles per hour does Charlie run

Westkost [7]

If Charlie runs 3 yards per second and there are 3600 seconds in an hour, then he runs

3 * 3600 = 10800 yards per hour.

There are also 1760 yards in one mile, so we need to divide 10800 by 1760 to find out how many miles it is:

10800 ÷ 1760 =
= 6,136363636363636

I think we should round it:

6,136363636363636 ≈ 6,1

Answer: Charlie runs with a speed of about 6,1 miles per hour.

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3 years ago