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3 years ago

How do you write and equation of a linear function using two points

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer:

Step-by-step explanation:

Find the difference between the 2 points.

For example, (8, 9) (5, 3).

Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.

To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.

To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.

For example, if we use the ordered pair (5, 3) the equation would look like:

3 = 2(5) + b, Solve for b.

Multiply. 3 = 10 + b

Get b by itself by adding - 10 to both sides.

-7 = b

The y-intercept is -7. So, in this case, the equation is y = 2x - 7.

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10(x + 2) + 10 • 2 for x = 2

ehidna [41]

Answer:

Step-by-step explanation:

10(2 + 2) + 20

=10(4)+20

=40+20

=60

4 0

2 years ago

PLEASE HELP!! Worth 15 points

nataly862011 [7]

Answer:

$x = \frac{a}{y}$

explanation:

A = xy

divide y on both sides.

A/y = xy/y

x = A/y

5 0

3 years ago

Which of these is an Irrational number?

finlep [7]

Answer:

the anser and the

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is

Zielflug [23.3K]

Answer:

Step-by-step explanation:

circumference = pi * diameter

circumference of metal frame = pi * (diameter of metal frame)

(diameter of metal frame) = 12

Circumference of Metal Frame = 3.14 * 12 = 37.68

therefore D: 37.7 feet would be your answer

3 0

3 years ago

Read 2 more answers

Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera

hoa [83]

Answer:

The probability is $P(X < 12) = 0.99286$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 12 \ oz$

The standard deviation is $\sigma = 0.1 \ oz$

The sample mean is $\= x = 12.1 \ oz$

The sample size is n = 6 packs

The standard error of the mean is mathematically represented as

$\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{0.1}{\sqrt{6} }$

$\sigma_{\= x } = 0.0408$

Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

$P(X < 12) = P ( \frac{X - \mu }{ \sigma_{\= x }} < \frac{\= x - \mu }{ \sigma_{\= x }} )$

Generally $\frac{X - \mu }{ \sigma_{ \= x }} = Z (The \ standardized \ value \ of \ X )$

$P(X < 12) = P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }} )$

substituting values

$P(X < 12) = P ( Z < \frac{12.2 -12 }{0.0408} )$

$P(X < 12) = P ( Z < 2.45 )$

From the normal distribution table the value of $P ( Z < 2.45 )$ is

$P (Z < 2.45)0.99286$

=> $P(X < 12) = 0.99286$

4 0

3 years ago