Question

Find and equation of the line satisfying the given conditions.
Through (3,4) and parallel to 4x-2y=5

Answer 1

To be parallel, they must have the same slope.

Answer 2

What would be the first step in solving a problem like this one?

Answer 3

First solve for \(y\) in the given equation to figure out the slope.

Answer 4

When you isolate \(y\) you have an equation \(y=mx+b\). Then \(m\) is the slope.

Answer 5

y=2x-5/2 ?

Answer 6

That looks right, so what is the slope?

Answer 7

the slope is 2x?

Answer 8

No \(x\), just \(2\)

Answer 9

We know the line we want has the form: \[
y=2x+b
\]

Answer 10

"Through (3,4)"
This means \((x,y) = (3,4)\).

We can plug this in: \[
(4) = 2(3)+b
\]Then we solve for \(b\)