Question

Determine if the following line are parallel
Y=3x+5 Y-3+7=0

Answer 1

2 lines with the same slope are parrallel

Answer 2

could you tell me the steps

Answer 3

the second line you posted is actually a vertical line :P

Answer 4

slope is how y increases for a change in x

Answer 5

for example
y=3x+5
chuck the 5 out.. since its always gonna add 5 to our solutions
y=3x is interesting
y is changing by a factor of 3*x
so 3 is known as the slope
This is the definition of a slope.

Answer 6

if you think about finding the slope by looking at 2 points,
for equation
y=3x+5

then u have points of the form
(x,3x+5)
then if you take any 2 points say with x1,x2
(x1,3x1+5) , (x2,3x2+5)
then seeing as slope is how y is changing with respect to x
3x2+5 - (3x1+5)
------------- = as you can see the +5 cancel out on the top
x2-x1

This is why the +5 is not playing any role the slope you get will be the same as if you had chosen
y=3x
giving us points of form
(x,3x)

3x2-3x1 3x2+5 - (3x1+5)
-------- = slope = -------------
x2-x1 x2-x1