SOLUTION: my question is: write the equation of a line that has a slope of 2/3 and passes through point (6,-3). my answer was y+3=2/3(x-6) is that right? thanks for the help!

Algebra ->  Systems-of-equations -> SOLUTION: my question is: write the equation of a line that has a slope of 2/3 and passes through point (6,-3). my answer was y+3=2/3(x-6) is that right? thanks for the help!      Log On


   

Question 5462: my question is:
write the equation of a line that has a slope of 2/3 and passes through point (6,-3).
my answer was y+3=2/3(x-6)
is that right?
thanks for the help!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is correct. You might want to write it in either standard form or slope-intercept form.

I like slope-intercept form, because of graphing calculators today.
y%2B3=+%282%2F3%29%2A%28x-6%29
y%2B3+=+%282%2F3%29%2Ax+-+%282%2F3%29%2A6+
y%2B3+=+%282%2F3%29%2Ax+-+4

Subtract 3 from each side:
y%2B3+-+3=+%282%2F3%29%2Ax+-+4+-+3
y=+%282%2F3%29%2Ax+-+7

A good way to check this is to substitute the value of x in the equation, and see if you get the y value.
y+=+%282%2F3%29%2A6+-7
y+=+4-7+=+-3, which checks!

R^2 at SCC