SOLUTION: i have a homework question i have been doing this test and i dont understand how to do this...ok on my test theres a graph that goes to 5 on x and y...and the only thing oon it is

Question 256991: i have a homework question i have been doing this test and i dont understand how to do this...ok on my test theres a graph that goes to 5 on x and y...and the only thing oon it is (1,6) and the line passes through zero and it says to find the equation for it i really dont know how to do this can someone help please
Found 3 solutions by richwmiller, drk, solver91311:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Are you saying it goes though two points (1,6) and (0,0) ?
You have two points and they want the equation for the line

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
We really have 2 coordinates here: (1,6) and (0,0).
step 1 - find the slope which is

step 2 - put the slope and point into

So we get
y = 6x + 0
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

If I understand your question correctly, you have something that looks like the picture above and you want the equation of the line shown.

In the first place, "the line passes through zero" is incorrect terminology. "The line passes through (0,0)" or "the line passes through the origin" is the correct way to say it.

Which leads us to the fact that you actually have two points on the line, namely: (1,6) and (0, 0). So just use the two-point form of the equation of a line:

where and are the coordinates of the given points.

Just substitute the values and do the arithmetic. By the way, you cannot find "the" equation for a line. That is because there are an infinite number of representations of the equation of any given line. The best you can do is find "an" equation of a given line.

John

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