Let and be real numbers, where , and let and . The line (meaning the unique line that contains the point and the point ) has -intercept and -intercept . Find and . Express your answer as the ordered pair .
slope = (3 - 0)/(0 - (-3/2)) or slope = 2
slope = (b2 - 3)/(b - 0) so (b2 - 3)/b = 2
b2 - 3 = 2b
b2 - 2b - 3 = 0
(b + 1)(b - 3) = 0
so b = -1 or b = 3
Similarly we would find a = -1 or b = 3, but we are told a<b so a = -1 and b = 3
(-1, 3)
.
and 
be real numbers, where 
, and let 
and 
. The line 
(meaning the unique line that contains the point 
and the point 
) has 
-intercept 
and 
-intercept 
. Find 
.
