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?
+128407 x/4 + y/18 = 1 multiply through by LCM 4 , 18 = 36
9x + 2y = 36
2y = -9x + 36 divide through by 2
y = (-9/2)x + 36/2
y = (-9/2)x + 18
Slope = -9/2 y intercept = 18
x int : 0 = (-9/2)x + 18
-18 = (-9/2)x
(-2/9)(-18) = x
4 = x
So
a + b + m =
4 + 18 - 9/2 =
22 - 4.5 =
17.5
