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Paha777 [63]
3 years ago
14

What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer:

y=2/3x+5

Step-by-step explanation:

Parallel lines share the same slope so we already know the slope: 2/3.

Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.

To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.

7=2+b

5=b

Now we can put all the information we have together.

y=2/3x+5

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Answers:

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Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

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Part B)

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Part C)

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Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

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