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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 $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

 Dec 29, 2017
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\(\frac{x}4 + \frac{y}{12} = 1 \)

 

 

If x=0   y=12   so  the y intercept b = 12

If y=0   x=4     so the x intercept  a = 4

 

Thinking of the graph in my head I can see this has a negative gradient.

m= - rise / run = - 12/4 = -3

 

a+b+m = 4+12+ -3 = 13

 Dec 29, 2017

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