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Dimas [21]
3 years ago
13

A line passes through the points (6, 10) and (4, -2). What is the equation of the line

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
7 0

Answer:

y = -1/6 x + 11

Step-by-step explanation:

In order to write an equation of a line you need slope (m) and y-intercept (b) or where the graph grosses the y- axis. since you are given two points (6, 10) and (4, -2). Slope when given two points is (y - y) / (x - x)

                                                                  so (-2 - 10) / (6 - 4) = 6 / - 1 =- 6

use the equation y = mx + b and substitute either point (6, 10) or (4, -2) as a replacement for x and y respectively. (I chose (6, 10) because they are positive numbers. Substituting x = 6 and y = 10 and m = -6  into y = mx + b

10 = -6(6) + b

10 = -36 + b

b = 46 (add -36 to both sides)

so our equation: y = -6x + 46 :-)

sineoko [7]3 years ago
4 0

Answer:

y = 6x - 26

Step-by-step explanation:

1. find slope: (y₂ - y₁) / (x₂ - x₁)

(-2 - 10) / (4 - 6) = -12 / -2 = 6

basic equation: y = 6x + b

2. plug in (x,y) value using one set of coordinates.

10 = 6(6) + b

10 = 36 + b

b = 10 - 36

b = -26

3. plug b in to find full equation.

y = 6x -26

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How do you put 300,000+10,000+6,000+20+9
dsp73

Answer:

three hundred thousand plus ten thousand plus six thousand plus twenty plus nine

Step-by-step explanation:

300,000 → three hundred thousand

10,000 → ten thousand

6,000 → six thousand

20 → twenty

9 → nine

+ → plus

Now put everything together.

Best of Luck!

3 0
3 years ago
Perform the requested operation or operations. f(x) = x-5/8 g(x) = 8x + 5 find g(f(x))
NARA [144]
Just to confirm is it x-5/8 or (x-5)/8
5 0
3 years ago
Read 2 more answers
A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the disc
denis23 [38]

Answer:

B & D

Step-by-step explanation:

We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

There are two ways to look at it:

  • For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
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6 0
3 years ago
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katie wants to buy a watermelon from the store if the watermelon costs $1.20 per kilogram and the watermelon weighs 6 kilograms
erastovalidia [21]

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=4.38/7.3=0.60per lb

substitute in the equation

p=0.60w

Step-by-step explanation:

brainliest?

7 0
2 years ago
PLZ HELP!!!!!!!!!!!!
Ira Lisetskai [31]
P = 2l + 2w
48 = 2(14) + 2w
48 = 28 + 2w

Therefore you could use the equation A.) 2n + 28 = 48, to find the value of N.
6 0
3 years ago
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