I don't remember how to find points, given line equation

hape2knit

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May 5, 2008
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Please help...find the coordinates of two points on the line with the given equation.

y=7/8x-11

I don't remember how to get rid of the fraction.

Thanks!
 
Re: Please help...I don't remember how...

y=7/8x-11
\(\displaystyle y=\frac{7}{8}x-11\)

Multily both sides of the equation (all terms) by the denominator of the fraction.
 
Re: Please help...I don't remember how...

hape2knit said:
Please help...find the coordinates of two points on the line with the given equation.

y=7/8x-11

I don't remember how to get rid of the fraction.

Thanks!

y = (7/8)x - 11

You can find two points on the line this way. Pick a number to use for x (since you are going to be multiplying that value of x by 7/8, it might be a good idea to pick a multiple of 8 to use....and 0 is always a good choice).

Suppose we pick 0 as the value of x. Substitute 0 for x in the equation:

y = (7/8)*0 - 11
y = 0 - 11
y = -11
So, when x = 0, y = -11 and the point (0, -11) is on the line.

Now...pick another value to use for x. Suppose we choose 16 as the value for x. Substitute 16 for x in the equation:
y = (7/8)*16 - 11
You do the arithmetic on the right side to find the value of y...and you'll have the coordinates of another point on the line.
 
Re: Please help...I don't remember how...

OHHHHHH...it has been so long since I've done this type of problem. I was trying to be more concrete rather than choose a number. I think I can help my son now. Thank you for spelling it out! ~: }
 
Re: Please help...I don't remember how...

Do you remember that by multiplying both sides of an equation by a non-zero number you change the looks of the equation? Both equations have same characteristics. The graphs of the two equations will be the same. Therefore you can do the "choose a number" thing for either equation and you will get the same result.

y=(7/8)x-11........If x=8 then y=-4. The point (8,-4) satisfies the equation.

8y=7x-88...........If x=8 then 8y=56-88, 8y=-32, y=-4. Same result as above.
 
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