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# Coordinates

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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

#1
+1365
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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