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anonymous · Answer

Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3/2x + 5.

kagıtucak · Answer

but 3/2x+5 doen not represent a line

anonymous · Answer

idk thats what i got i just need guidance and this to be explained to me

anonymous · Answer

like i want to know how to do this in case i get something like it in the future

larseighner · Answer

you are given the line 

$$\large y={3 \over 2}x + 5$$

What is the slope of that line?

anonymous · Answer

don't i have to use the slope formula for that which is m = y2 - y1/x2 - x1?

anonymous · Answer

oh nvm isnt the slope 3/2?

anonymous · Answer

since the equation is y = mx +b and m is the slope

larseighner · Answer

No,  you could but you do not have to.

$$ \large y = mx + b $$
is the slope-intercept formula for a line.  m is the slope and b is the value of y for x=0 or in other words, where the line crossed the y-axis.

Now the line you were given is conveniently in this form.  What is the slope of that line?

larseighner · Answer

Okay you got that while I was typing.  Now parallel lines have the same slope. If lines have the same slope they are parallel (or might be the same line).

So you are looking for a line with the same slope.

anonymous · Answer

y = 3/2x?

larseighner · Answer

Yes, but now it must contain the point (2,3)

So you can use the point slope formula

$$ \large y-y_0 = m(x - x_0) $$

where m is the slope and $(x_0,y_0)$ is the point.

Notice the similarities and differences with the two-point formula which you have already cited.

anonymous · Answer

well how about y = 3/2x + 7?

larseighner · Answer

No. It you went wrong with signs.  It is $y = {3 \over 2}x $ as you said but I was not sure you proved it contained the point.

anonymous · Answer

so the answer is y = 3/2x? and i'm sorry i'm just a little tired and sleepy since is 4:36 AM where i live

anonymous · Answer

@Directrix

larseighner · Answer

$$\large \begin{align}y-3 &= {3 \over 2} (x - 2) \cr y&= {3 \over 2}x - {3 \over 2}(2) + 3 \cr y &= {3 \over 2}x - 3 + 3 \cr y &= {3 \over 2}x \end{align}$$

anonymous · Answer

thanks i got the answer and submited it and got a 100

larseighner · Answer

Thanks for putting up with me.  I'm sleepy too.

anonymous · Answer

lol goodnight and i apreciate you staying up just to help me but i gtg i have early soccer practice tomorrow