Question 58618
Find the slope of the line:
a. 3x-6y=7
Put the equation in slope intercept form: {{{highlight(y=mx+b)}}}, m=slope and (0,b)=y-intercept.
-3x+3x-6y=-3x+7
-6y=-3x+7
{{{-6y/-6=(-3/-6)x+7/-6}}}
{{{y=(1/2)x-7/6}}}
{{{y=highlight(1/2)x-7/6}}}  the slope, m=1/2
:
b. y + 5 = 2
y+5-5=2-5
y=-3 
This is a special case, whenever you have y=k and k= any real number and there's no x.  You have a horizontal line going through y=k, in this case a horizontal line going through y=-3.  Horizontal lines don't go up and down so their slopes are m=0. 
:
c. 2x= 5
2x/2=5/2
x=5/2
This is another special case (don't worry, there's only two), whenever you have x=k and k is any real number and there's no y. You have a vertical line going through x=k, in this case a vertical line going through x=5/2.  Vertical lines go forever up and forever down at the same time so their slopes are undefined.
:
Happy Calculating!!!