home Interactive Shape
introduction coordinates lines curves
topics
curves
Curves: solving
The graphs of

y = a/x+ b
y = mx+ c

cross each other in up to two places.

y = 2/x,
y = x		 Number of crossing points: 0123
y = 2/x,
y = -2x+1		 Number of crossing points: 0123
y = 2/x-2,
y = -x+1		 Number of crossing points: 0123
y = -3/x-2,
y = -3x		 Number of crossing points: 0123

What you should understand

A reciprocal graph and a linear graph will cross each other either once or twice or not at all. So the simultaneous equations
y = a/x+ b
y = mx+ c
can have either 0, 1 or 2 answers.



a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
controls
copyright