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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 2, 2020
 #1
avatar+129852 
+1

Multiplying  the original equation through by  12  we get

 

3x  + y =  12      rearrange as

 

y  =  -3x  + 12

 

m = -3     b  =12

 

x intercept....set y=  0

0 = -3x + 12

-12 = -3x

-12/-3 = 4   = x intercept  = a

 

a + b + m  = 

 

4  + 12   -  3   =

 

13

 

 

cool cool cool

 Dec 2, 2020
 #2
avatar+14 
0

Thanks!

cmgamer  Dec 2, 2020
 #3
avatar+129852 
0

OK.....

 

 

cool cool cool

CPhill  Dec 2, 2020

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