3 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Answer:

The correct answer is D) y = 1/2x - 14

Step-by-step explanation:

To find this equation, start with the slope of the original line. Since it is 1/2, the new line will also have that slope because parallel lines have the same slope. Now we can use this with the given point to find the equation.

y - y1 = m(x - x1)

y + 17 = 1/2(x + 6)

y + 17 = 1/2x + 3

y = 1/2x - 14

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Dafna11 [192]

In this problem, you have already shown the solution.

24 = 3y - 6 => 30 = 3y, y =10

12 = 5x + 2 => 10 = 5x , x = 2

And yes, basically parallel sides must have the same length

These are the answers:

for 17.) x = 2
y = 10

for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,

thus, side 2 = 14 units

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