All categories

3 years ago

Write the equation of the line fully simplified slope intercept form

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

7 0

Y=-5x-5
Find the gradient (m) using 2 random coordinates and the equation m=y2-y1/x2-x1 which is -5 in this case.
Find the y-intercept (c) by seeing where the line intercepts the y-axis which is -5 in this case.
Sub these numbers into ‘slope-intercept form’ which is y=mx+c.

yuradex [85]3 years ago

5 0

Answer:

y = - 5x - 5

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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = $\frac{-5-0}{0+1}$ = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

You might be interested in

What is the speaker’s viewWhen I heard the learn'd astronomer;

Phantasy [73]

A. He feels tired and sick because the focus on the mechanical measurements of stars is not satisfying to him.<span>
</span>

4 0

3 years ago

In 2014, there were 16,400 students at College A, with a projected enrollment increase of 640 students per year. In the same yea

zhenek [66]

Answer:

4 Years

Step-by-step explanation:

I just continually added the numbers til' I got 18,960 on Both Colleges.

8 0

2 years ago

Please..............help me!!!!!!!!!!!!

Zina [86]

It is the second and third boxs

6 0

3 years ago

Read 2 more answers

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0

3 years ago

第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows

tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

$P(A/B)=\frac{P(A)*P(B/A)}{P(B)}$

let A be the event that the student knows the answer .

B be the event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

$P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}$

Probability that the answer is correct ,given that he knows the answer is

$P(E/A)=1$

Probability that the answer is correct ,given that he guesses it is

$P(E/B)=\frac{1}{3}$ [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability $P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}$

Substituting the values we get

$P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }$

$=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}$

Therefore , the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

#SPJ4

8 0

11 months ago