SOLUTION: Write the intercept form of the equation of the line with intercepts (a, 0) and (0, b). The equation is given below. x/a + y/b =1. a is not equal to 0, b is not equal to 0. x

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Question 910661: Write the intercept form of the equation of the line with intercepts (a, 0) and (0, b). The equation is given below.
x/a + y/b =1. a is not equal to 0, b is not equal to 0.
x intercept: (-7/3, 0)
y intercept: (0, -3)

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Get slope from the two given intercepts and find y-intercept as equal to the constant term in the slope-intercept form. You can then convert to standard form and read a and b directly.

Your slope is m=%28-3%29%2F%28-7%2F3%29=3%2F%287%2F3%29=9%2F7, which might be useful enough on its own without going further - but not sure, so....

y=%289%2F7%29x-3, should now be clear enough as the equation for the line having the unknown a and b.

Division of both sides by 3 might be a good idea so as to have the constant term as 1, or later(?) negative 1.
y%2F3=%289%2F7%29x%2F3-3%2F3
y%2F3=%283%2F7%29x-1
-%283%2F7%29x%2By%2F3=-1, Although standard form was mentioned, I am not in fact using it.
%283%2F7%29x-y%2F3=1
highlight%28x%2F%287%2F3%29%2By%2F%28-3%29=1%29, which is the form given for your unknown line equation.

highlight%28a=7%2F3%29 and highlight%28b=-3%29