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Through (2,4) parallel y=4x-7

User Zoneur
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1 Answer

3 votes

Answer:

y = 4x - 4

Explanation:

Im assuming the question asks to find the line that goes through the point (2,4) and is parallel to y = 4x-7.

If a line is parallel to another line, then the information we can take from that is that they have the same slope.

Which means, our mystery line has a slope of 4 just like the line it's parallel to.

So our line will be y = 4x + b. We can find b with the point (2, 4) by substituting y with 4 and x with 2 and solving for b.

4 = 4*2 + b

4-8 = b

b = -4

Now we can plug in b into our equation and our final line is:

y = 4x - 4

Hope this helps :)

User Jorge Vargas
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7.7k points

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