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mr Goodwill [35]
3 years ago
13

How do you write and equation of a linear function using two points

Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Answer:

Step-by-step explanation:

Find the difference between the 2 points.

For example, (8, 9) (5, 3).

Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.

To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.

To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.

For example, if we use the ordered pair (5, 3) the equation would look like:

3 = 2(5) + b, Solve for b.

Multiply. 3 = 10 + b

Get b by itself by adding - 10 to both sides.

-7 = b

The y-intercept is -7. So, in this case, the equation is y = 2x - 7.

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Tickets for a play at the community theater cost $8 for children and $20 for adults. A total of 300 tickets have been sold for $
salantis [7]

Answer:

125 adults

175 children

Step-by-step explanation:

3900=8c+20a

300=c+a

c=300-a

substitute

3900=8(300-a)+20a

reduce

3900=2400-8a+20a

1500=12a

a=125 adults

substitute for a

c=300-a

c=300-125

c=175 children

8 0
2 years ago
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Shkiper50 [21]

Answer:

The sweaters cost $35 each.

Step-by-step explanation:

The skirt was $20, so you would subtract 20 from 160. that equals 140. Then you would divide 140 by 4. that would equal 35. So the answer is $35.

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3 years ago
If g(x)=f(x+k), what is the value of k?
lianna [129]
G(x) is f(x) shifted left by (4 -(-2)) = 6 units.

The value of k is 6.
6 0
3 years ago
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Find the radians and degrees with the given problem
Vlad [161]
The answer is 5.75.Not exact but close
3 0
3 years ago
Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice th
nika2105 [10]

Answer: 47.4 liters

Step-by-step explanation:

From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.

The number of liters it'll take to fill Samuels car will be:

= 12.5/0.264

= 47.4 litres

7 0
3 years ago
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