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vichka [17]
3 years ago
6

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph o

f y equals 4 x plus 5y=4x+5. Write the equation in​ slope-intercept form, if possible.
Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

The equation for the new line in slope-intercept form is:  

y=4x+2

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0

which for our case is:

y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2

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HELP PLEASE 18 POINTS
ICE Princess25 [194]

Answer:

Step-by-step explanation:

line 1  m=y2-y1 / x2-x1  [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12      

m= 1/4  slope of line 1

line2  

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4  slope of line 2

line 3

m = -4 - (-7)  / -3 -  6

m = 3 / -9

m = - 1/3  slope of line 3

lines 1 & 2   perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3     neither.. differet slopes and not reciprocals

lines 2 & 3  perpendicular  b/c they are reciprocals with a sign change :)

6 0
3 years ago
18x + 24 = 12x +14. Find the value of (x)​
densk [106]

Answer:

X = -10/6

X = -1,666666666666667

Step-by-step explanation:

First at all you join the X's

18x-12x = 14-24

Then you simplified:

6x = -10

X = -10/6

X = -1,666666666666667

3 0
2 years ago
Read 2 more answers
Write the relation as a set of ordered pairs
Marina CMI [18]

I don't know what the relation in your problem is, but I'll just explain this using my own example.

Let's use the following relation as the example (pretend it's a table of values):

x | y

0 |  1

2 |  4

4  |  7

6  | 10

To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).

Based off of this explanation, the ordered pairs from this example would be:

(0,1) (2,4) (4,7) (6,10)

7 0
2 years ago
The average professional hockey player makes $2.78 million a year.
Nimfa-mama [501]

The average hockey player makes per game is an amount of $34,000.00 which is the correct option would be option (A).

<h3>What is the division operation?</h3>

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

The average professional hockey player makes $2.78 million a year.

$2.78 million = $2,780,000

They play an average of 82 games.

The average hockey player makes per game = 2,780,000 / 82

Apply the division operation to get the answer.

The average hockey player makes per game = 33,902.439

The average hockey player makes per game = $33,900.00

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

4 0
1 year ago
Read 2 more answers
(5 + x) + 0 = 5 + x<br> What property is this
Paha777 [63]

Answer:

The Identity Property of Zero

Step-by-step explanation:

If you add 0 to any number, the result will be that number.

5 0
2 years ago
Read 2 more answers
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