The equation of the line passing through (1,11) and (4,5) can be expressed in the form x / a + y / b = 1
Find a.
+128468 (1,11) and (4,5)
Slope = [ 5 - 11] / [ 4 -1] = -6/3 = -2
Equation of line
y = -2 (x -1) + 11 simplify
y = -2x + 2 + 11
y = -2x + 13 add 2x to both sides
2x + y = 13 divide through by 13
(2/13) x + (1/13) y = 1 note that we can write this as
x y
____ + _____ = 1
(13/2) 13
This implies that a = (13/2)
