A line passes through the point (-2,-8) and has a slope of -3.Write a equation in slope intercept form

Answers

Answer 1
Answer:

The linear equation is in the slope-intercept form Y = mx + b.

The equation in slope intercept form is y=-3x-14

What is meant by slope intercept form?

One method for expressing a linear equation is in the slope-intercept form (the equation of a line). Y = mx + b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). The equation in slope intercept form is y = mx + c.

Given slope is m=-3

Let the given point be (-2,-8).

The equation of the line when  is (y-y_1)=m(x-x_1)

substitut ethe values in the above equation, we get

i.e., (y - (-8)) = -3(x - (-2))

simplifying the above equation, we get

⇒ y + 8 = -3x - 6

⇒ y = -3x - 14

Therefore, the required equation in the slope intercept form is y=-3x-14

To learn more about slope intercept form refer to:

brainly.com/question/1884491

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Answer 2
Answer:

Answer:

Step-by-step explanation:

y + 3 = -3(x + 8)

y  + 3 = -3x - 24

y = -3x - 27


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Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

Answers

Answer:

18x + 48 = 20

Step-by-step explanation:

Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.

We are given the expression:

3/4x + 2=5/6

= 3x/4 + 2 = 5/6

Rewriting the Equation so that it does not have fraction is, we Multiply both sides by the 24

= 3x/4 × 24 + 2 × 24 = 5/6 × 24

= 3x/4 × 24 + 48 = 5 × 4

= 3x × 6 + 48 = 20

= 18x + 48 = 20

Therefore, the Equation without fractions = 18x + 48 = 20

What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?

Answers

The domain is simply all of the x values.

We have a 2, 0, -1, -1, and -2.

Get rid of duplicates, so 2, 0, -1, and -2.

We're going to want to order those, so -2, -1, 0, and 2.

And put some fancy brackets on that. {-2, -1, 0, 2}
Domain          Range
    -1                    3
     0                    5
     2                    8
     3

The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.

Transform the polynomial into a perfect square trinomial to solvex^2-12x=13
a){46,55}
b){-1,13}
c){-15,27}
d){-21,33}

Answers

If you would like to solve x^2 - 12 * x = 13, you can do this using the following steps:

x^2 - 12 * x = 13
x^2 - 12 * x - 13 = 0
(x - 13) * (x + 1) = 0
1. x = 13
2. x = -1

The correct result would be b) {-1, 13}.

My mum was 27 when I was born. 8 years ago she was twice as old as I shall be in 5 years time. How old am I now?

Answers

use timeline and work from NOW
me. mom
(1) @born 0. 27
My mum was 27 when I was born.
(2) now-8. x-8. y-8
(3) now. x y
(4) now+5. x+5. y+5

(1)&(3). y-x = 27-0 = 27

8 years ago she was twice as old as I shall be in 5 years time.
(2)&(4). y-8 = 2(x+5)

2 variables 2 equations ... solve x
x = 9, y = 36

Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.

Answers

Answer:

≈ 13.98%

Step-by-step explanation:

As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.

4963/5769=0.8602

Then you multiply it by 100 to transform it into percentage

0.8602*100=86.02%

Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

100% - 86.02% = 13.98%

Also you can say that is approximately  14%

A queen size mattress has a catalog price of $428.99. The trade-discount rate is 20%. What is the net price to the nearest cent?

Answers

The queen size mattress has a catalog price of 428.99 dollars.
NOw, it has a trade discount rate or 20% 
=> 20% / 100% = .20
Next is to do the solution:
=>  428.99 * .20 = 85.798 dollars or 85.80
Now, let's find out the net price:
=> 428.99 - 85.80 = 343.19 dollars or 343.2.