MATHEMATICS MIDDLE SCHOOL

A line has a slope of 3 and contains the point (−1, −8).Which equations represent the line?

Choose ALL answers that are correct.

A.
−3x + y = −5

B.
3x + y = −5

C.
(y – 8) = 3(x − 1)

D.
(y + 8) = 3(x + 1)

Answers

Answer 1
Answer: Simplest way to do this?:
Slope intercept form is y = mx+b where m is the slope, and b is the y intercept. 
That means that our equation HAS to have y = 3x as the first part because it's the slope.
Now to find 'b'.
To find b there's two methods, and I'll be telling you both.
You can either plug (-1,-8) into the equation of y = 3x + b, or just add 3 to the -8 because you're basically trying to find the y intercept, which is at x = 0, which is just 1 unit away from -1,-8. And because you're increasing by intervals of 3 between each x unit, you just add 3 to the y value, and you have -5. 

If you plug it in: -8 = -3 +b you'll get the same thing. b = -5
In this case answer choices A and D  would be right.

Hope I helped :)
Answer 2
Answer: A.
-3x + y = -5
y = 3x -5                (the number before x is the slope.)

So, A. so far works, because it has a slope of 3.

Now, plug in the coordinate (-1,-8)

-8 = 3(-1) - 5
-8 = -3 -5
-8 = -8

This means that A. is one of the answers!!!!!!!

B.
3x + y = -5
y = -3x - 5

This doesn't work because it doesn't have the same slope.
B. is NOT one of the answers.

C.
(y-8) = 3 (x-1)
y - 8 = 3x - 3
y = 3x + 5

So far, it does work because it has a slope of 3.
It is not the same equation as A's equation, so it doesn't work

D.
(y + 8) = 3(x + 1)
y + 8 = 3x + 3
y = 3x - 5

THIS IS THE SAME EQUATION AS A'S EQUATION SO WE KNOW IT IS CORRECT!!!!!
So, D. is also correct.

Answer: Aand D.

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Which is an equation of the line containing (1, -3) and (7, 15)?​

Answers

Answer:

You need to find equation of line containing (1,-3) and (7,15)

First find slope (m) = 15+3)/7-1 = 18/6 = 3

So, eq of line is y +3 = 3( x-1)

y+3 = 3x -3

y-3x +6 = 0

Kimmys savings account has a balance of $76.23 in june. By September, her balance is 5 times as much as her June balance. Between September and December, Kimmy deposits a total of $87.83 into her account. If she does not withdraw any money from her account, what should Kimmys balance be in December

Answers

The total balance in Kimmy account in December is $468.98

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In June, Kimmys savings account has a balance of $76.23.

And,  By September, her balance is 5 times as much as her June balance.

Between September and December, Kimmy deposits a total of $87.83 into her account.

Now,

Since, In June, Kimmys savings account has a balance of $76.23.

And,  By September, her balance is 5 times as much as her June balance.

So, The account balance in September = 5 x $76.23

                                                             = $381.15

And, Between September and December, Kimmy deposits a total of $87.83 into her account.

So, The account balance in December = $381.15 + $87.83

                                                             = $468.98

Thus, The total balance in Kimmy account in December is $468.98

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The correct answer is:

$468.98.

Explanation:

The account balance in June is 76.23. Since the value in September is 5 times that, the September balance is 5(76.23) = 381.15.

She deposits 87.83 between September and December; this makes the total 381.15+87.83 = $468.98.

SOLVE THE EQUATION
−9(x + 6) + 60 = 13 − 10x

Answers

Answer:

x=7

Step-by-step explanation:

−9(x + 6) + 60 = 13 − 10x

Distribute

−9x -54 + 60 = 13 − 10x

Combine like terms

-9x +6 = 13 -10x

Add 10x to each side

-9x+10x +6 = 13-10x+10x

x +6 = 13

Subtract 6 from each side

x+6-6=13-6

x = 7

What is greater 4yd or 13ft

Answers

4yd=12 feet

12ft<13ft.

13ft is greater than 4yds.
4yds  hope this helped

what is the equation of a line passing through (2,1) and is perpendicular to the line containing points (2,-2) and (4,10)?

Answers

Answer:

y = -1/6x - 14

Step-by-step explanation:

The equation for the first line is y = 6x - 14

Convert the slope 6 so it becomes -1/6

You bought a car for $20,000. You have owned it for one year, and it is now worth $16,000. What is the percent decrease in your car's value?

Answers

I think it'd be 20%.. I could be wrong. 
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