SOLUTION: find the slope-intercept when the x intercept is 3 and the y intercept is 3/5

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Question 800669: find the slope-intercept when the x intercept is 3 and the y intercept is 3/5
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The description means two points on the line are (3,0) and (0,3/5).

Apply the standard form equation for a line, Ax%2BBy=C.

The point (3,0) means A%2A3%2BB%2A0=C
3A=C
A=C%2F3

The point (0,3/5) means A%2A0%2BB%283%2F5%29=C
B%283%2F5%29=C
B=%285%2F3%29C

The slope will be negative, considering those two axes intercepts. You should be able to algebraicly relate the standard form equation to the slope intercept form equation and see that highlight%28m=-%28A%2FB%29%29, and you already have your "b", y-intercept.
'
Compute the value for the slope, m.
m=-%281%2F3%29%2F%285%2F3%29
m=-%281%2F5%29
'
The equation for the line in slope-intercept form is then highlight%28y=-%281%2F5%29x%2B3%2F5%29

You could convert that into standard form easily if you want.
5%2Ay=5%28-%281%2F5%29x%2B3%2F5%29
5y=-x%2B3
highlight%28x%2B5y=3%29


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Note, you can ignore "standard form" if you wish, and do everything according to definition of slope, and knowledge of slope-intercept equation form. The two given axes intercepts give you enough information.
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