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scZoUnD [109]
3 years ago
9

Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (

2,5)?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2

Thus, the line is of the form:

y = 2x + b

We substitute point (-4,5)and find "b":

5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13

Finally, the equation is:

y = 2x + 13

Answer:

y = 2x + 13

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Step-by-step explanation:

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Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.
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Answer:

Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

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3 years ago
Read 2 more answers
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SVETLANKA909090 [29]

I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.

At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.

From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.

I hope this helps

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Answer:

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