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andrew11 [14]
3 years ago
14

Identify the equation in slope intercept from that has a slope of 2 and goes through the point (4, 6).

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0

Answer:

D) y=2x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=2(x-4)

y=2x-8+6

y=2x-2

Mars2501 [29]3 years ago
5 0

Answer:

  y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

  y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

  y -6 = 2(x -4)

  y = 2x -8 +6 . . . . eliminate parentheses, add 6

  y = 2x -2 . . . . . . . collect terms.

__

You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

  • 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
  • 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
  • 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
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andrew11 [14]

Answer: Option B: 120.

Step-by-step explanation:

I will answer in English

This problem can be translated to:

A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.

If he sells each pen at 1.5 lira, he will loss a total of 20 lira.

We want to find N, the number of pens that he bought.

if he sells the N pens at 2 lira each, the revenue is:

N*2 lira

And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:

N*2 lira - C = 40 lira.

When he sells each pen at 1.5 lira the equation is:

N*(1.5 lira) - C = -20 lira.

Then we have two equations:

N*2 lira - C = 40 lira.

N*(1.5 lira) - C = -20 lira.

To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:

N*(1.5 lira) + 20 lira = C.

Now we can replace this in the first equation to get:

N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.

We can solve this for N.

N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira

N*(2 lira - 1.5 lira) = 60 lira

N*(0.5 lira) = 60 lira

N = (60lira/0.5lira) = 120

N = 120

This means that he bought 120 pens.

The correct option is B.

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2 years ago
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