SOLUTION: The graph of a line goes through (0,-2) and has slope 1/3. What point is also on the graph of the line?

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Question 311065: The graph of a line goes through (0,-2) and has slope 1/3. What point is also on the graph of the line?
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Slope is change in y over change in x.
Change in y=1.
Change in x=3.
Start at the given point (0,-2).
x=0%2B3=3
y=-2%2B1=-1
(3,-1) is also a point on the line.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First use the point-slope form of the equation of a line to derive an equation for the desired line:



Where are the coordinates of the given point and is the given slope.

Once you have your equation, pick any value you like for except 0. That's because the point you were given has 0 as an coordinate and picking 0 won't tell you anything new. Substitute this value into the equation and do the arithmetic required to determine the value of that results. The ordered pair consisting of the value you chose and the value that resulted from that choice is a point on the line.

If you were given a series of choices that you just didn't bother to share, make your selection for be one of the coordinates given. Keep checking until you find one of them that results in the listed coordinate.

John