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3 years ago

A line passes through the given points. Write an equation for the line in

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

8 0

4-9=5

-2--8=6

y=mx+b

slope/mx=6/1

base/y intercept=5

d1i1m1o1n [39]3 years ago

4 0

Answer: The equation for the line in point-slope form : $(y+2)=\dfrac{-6}{5}(x-4)$

The equation in slope-intercept form : $y=\dfrac{-6}{5}x+\dfrac{14}{5}$

Step-by-step explanation:

The equation of a line in point slope form passing through points (a,b) and (c,d) is given by :-

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Now, the point slope form passing through points (4, -2) and (9, -8) is given by :-

$(y-(-2))=\dfrac{-8-(-2)}{9-4}(x-4)\\\\\Rightarrow (y+2)=\dfrac{-6}{5}(x-4)$

The equation for the line in point-slope form : $(y+2)=\dfrac{-6}{5}(x-4)$

Further if we simplify the equation , we get

$y+2=\dfrac{-6}{5}x+\dfrac{24}{5}\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{24}{5}-2\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{14}{5}$

The equation in slope-intercept form : $y=\dfrac{-6}{5}x+\dfrac{14}{5}$

You might be interested in

How does the setting of a story influence a characters feelings and actions?

Ratling [72]

Answer + Step-by-step explanation:

Settings can affect the character in a number of ways.

For example, it can cause conflict and influence the character's

actions. In the setting of a war, it will obviously cause conflict

for a character or change the character's attitude towards another

character whom they probably knew well. The setting can affect the mood

and tone of the scene, resulting in many actions the reader did not think was

going to happen before.

Hope this helps, feel free to message me in the comments

if my answer is wrong ;)

- genius423

6 0

3 years ago

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute

Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X $\sim$ uniform(3.17)

$f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17$

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

$P(X > 5) = \int ^{17}_{5} f(x) \ dx$

$P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx$

$P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}$

$P(X > 5) =\dfrac{1}{14} [17-5]$

$P(X > 5) =\dfrac{12}{14}$

P(X>5) = 0.857

6 0

3 years ago

Which equation is represented by the graph below?

kirill115 [55]

Answer:

y = 2/3x + 6

Step-by-step explanation:

6 0

4 years ago

In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. Th

soldi70 [24.7K]

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $s$ is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that $\mu = 0$

Randomly select 10 cars

This means that $n = 10$

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that $X = 0.41, s = \sqrt{0.16} = 0.4$

Calculate the test statistic.

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}$

$t = 3.24$

The test statistic is t = 3.24.

7 0

3 years ago

. Cecil is planting seeds in five large pots in his front yard. He has a total of 50 seeds. He put 14 seeds in the first pot and

rodikova [14]

The answer would be 7.

5 0

3 years ago