Question

I really need help
fan, medal, and testimony
Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.

Answer 1

@satellite73 @ganeshie8 @sleepyjess

Answer 2

http://openstudy.com/study#/updates/4fd9243be4b091dda540af19

Answer 3

Ok, are you familiar with the line equation \(y = mx + b\)?

Answer 4

slope?

Answer 5

\(m\) is the slope of the line
The other line is \(y = \frac{3}{2}x + 5\) right?

Answer 6

yes

Answer 7

Ok, so since the lines are parallel we know they must have the same slope. The slope of the second line is \(\frac{3}{2}\) so our line is now:
$$ y = mx + b \implies y = \frac{3}{2}x + b$$
Now we are told it has to have the point (2,3). That means that when x is 2 y has to be 3. Let's plug it in:
$$
x = 2 \implies y = 3\\
y = \frac{3}{2}x + b \implies 3= \frac{3}{2} \cdot 2 + b
$$Can you solve for \(b\)?