Plzz help plzz

What is the equation of a line that is parallel to −2x+3y=−6 and passes through the point (−2, 0) ?

Step2247 [10]

Answer:

y= 2/3x+ 4/3

Step-by-step explanation:

Hi there hopefully I can help you! Okay let us start, what is the equation of a line that is parallel to −2x+3y=−6 and passes through the point (−2, 0)? Well let think, what is the equation or HOW do we find the equation of a line? Well that's simple! We need to look at the linear equation formula? What is that? It is y=mx+b. What do these variables or letters represent?

y= outcome

m= slope (can be (+), (-), a decimal or even a fraction!!)

b= y-intercept (this can also be (+), (-), a decimal or even a fraction!!)

Well how do we still find the equation with the given information? That is tricky, why? Because look at the equation we are given and the linear equation formula?

-2x+3y=-6 y=mx+b (see the differences? yes? no? Hopefully yes)

Why isn't alone and we don't see a y-intercept ( at the moment). So the main question is HOW can we get it into the linear equation formula format? Well simple, ALGEBRA TIME!!!

So first thing we want "y" all alone on one side and "x" on the other

1. Add "2x" to both sides => this will cause the -2x and (+)2x to cancel on one side

-2x+3y=-6

+2x +2x

3y= 2x-6 (Wait, you thought we were done? NOPE)

2. Next, we need to get "y" all alone. How do we do that, we divide the equation by 3.

3y= 2x-6 or => 3y = 2x-6 (some people do this way, your choice.)

3 3 3

(remember a negative number divided by a positive number will result in a negative number)

3. After dividing you should have "y" completely alone on 1 side.

y= 2/3x-2

Hey guess what? We are still not done yet! But we are close to finding the answer, isn't that cool!? Yes it is.

Let keep in mind that this line is parallel to the linear equation yet passes through the coordinate points (-2,0). So first thing is what does parallel mean anyways? Parallel is when two things or lines that intersect (cross) each other at all. So if someone says the lines on the graph are parallel, that means the line doesn't touch and just keep going forever!

But here's the thing, parallel lines can have the same slope, yet different y-intercept!! Don't believe me try using a graphing calculator and put in y=3x+1 and y=3x-2. But anyways! Let us use the information we received and found and find this line that is parallel to our corrected original one.

So we know parallel lines have the same slope. Our "m" or slope we got is 2/3. Okay? Now what? Well we have coordinate points right? Yes we do. What we need to do is input the coordinate points into the equation. We do know a coordinate point is made up of the x and y values so "x" would be -2 and "y" is 0. Let input this into the equation we have

y=mx+b

0= 2/3 (-2) + b

0= -4/3 + b (remember a negative times a positive number will be negative)

0= -4/3 + b (next we need to add 4/3 on both sides to get b alone!)

+4/3 +4/3

4/3 = b (final answer)

So let bring ALL the things we found and put them into an equation!

y=mx+b

y= 2/3x+ 4/3

I really do hope this helps you out a lot! And sorry for typing so much, this is the only way I explain things, very detailed lol. But if you have any questions or comments, don't be afraid to message me! I really do hope you understand and have a great day. :D

P.S. => I do have a little picture of the rules based on dividing by positive and negative. and I also have a graph to help you see that the answer is right! The green line is the y= 2/3x-2 and the black line is the y= 2/3x-2 .

4 0

3 years ago

2. What is A-2) if f(x)= ? F.-2 G. 1 H. O I. 1

NARA [144]

Answer:

F.-2...........................................

8 0

3 years ago

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the

icang [17]

Answer:

Step-by-step explanation:

Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.

dA/dt = dA/dL * dL/dt where

dL/dt is the rate at which each side of the square is increasing.

Since dA/dL = 2L, dA/dt = 2L dL/dt

Given dL/dt = 5cm/s and the Area of the square = 49 cm²

49 = L²

L = √49

L = 7cm

dA/dt = 2(7) * 5

dA/dt = 14*5

dA/dt = 70cm/s

The rate at which the area of the square is increasing is 70cm/s

3 0

3 years ago

If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, ﬁnd a formula for the probabilit

antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

$X \sim Binom(n=4, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And the distribution is given by:

$P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}$

With $X=0,1,2,3,4$

3 0

3 years ago

Read 2 more answers

Can anyone help me with this please? I need help along with an explanation.

mariarad [96]

Answer:

Step-by-step explanation:

8 0

3 years ago