SOLUTION: Find the slope of the line: a. 3x-6y=7 b. y + 5 = 2 c. 2x= 5

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line: a. 3x-6y=7 b. y + 5 = 2 c. 2x= 5      Log On


   



Question 58618: Find the slope of the line:
a. 3x-6y=7
b. y + 5 = 2
c. 2x= 5

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the line:
a. 3x-6y=7
Put the equation in slope intercept form: highlight%28y=mx%2Bb%29, m=slope and (0,b)=y-intercept.
-3x+3x-6y=-3x+7
-6y=-3x+7
-6y%2F-6=%28-3%2F-6%29x%2B7%2F-6
y=%281%2F2%29x-7%2F6
y=highlight%281%2F2%29x-7%2F6 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!!!