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If a is the x-intercept, b is the y-intercept, and m is the slope of the line with equation x/4 + y/18 = 1, then what is the value of a + b + m?

 Apr 28, 2022
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When you multiply the equation by 36, you get: \(9x+2y=36\)

 

The x-intercept is 4, because the equation is true when y = 0. 

 

The y-intercept is 18 by the same logic. 

 

The slope is \(-18 \over 4 \).

 

Thus, \(a+b+m=18+4-{18 \over 4} = \text{____}\)

 Apr 28, 2022

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