anonymous
  • anonymous
Find and equation of the line satisfying the given conditions. Through (3,4) and parallel to 4x-2y=5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
To be parallel, they must have the same slope.
anonymous
  • anonymous
What would be the first step in solving a problem like this one?
anonymous
  • anonymous
First solve for \(y\) in the given equation to figure out the slope.

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anonymous
  • anonymous
When you isolate \(y\) you have an equation \(y=mx+b\). Then \(m\) is the slope.
anonymous
  • anonymous
y=2x-5/2 ?
anonymous
  • anonymous
That looks right, so what is the slope?
anonymous
  • anonymous
the slope is 2x?
anonymous
  • anonymous
No \(x\), just \(2\)
anonymous
  • anonymous
We know the line we want has the form: \[ y=2x+b \]
anonymous
  • anonymous
"Through (3,4)" This means \((x,y) = (3,4)\). We can plug this in: \[ (4) = 2(3)+b \]Then we solve for \(b\)

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