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Dvinal [7]
3 years ago
7

(-4, -2); y = - 2x + 4

Mathematics
1 answer:
padilas [110]3 years ago
8 0

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation  y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is  y = -2x - 10.

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Assume that the number of adult tickets is a and the number of child tickets is c.

We are given that the adult ticket is sold for 20$, the child ticket is sold for 10$ and that the total is $15,000. This means that:
20a + 10c = 15,000 ..........> equation I

We are also given that number of child tickets is 3 times that of adult's. This means that:
c = 3a .........> equation II

Substitute with equation II in equation I to get a as follows:
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20a + 10(3a) = 15,000
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Substitute with the value of a in equation II to get c as follows:
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Based on the above calculations,
number of child tickets = 900 ticket
number of adult tickets = 300 ticket
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3 years ago
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Thanks that helped a lot with my math homework!:):):)
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