Determine the Solution
Set to a Linear Function
by The Slope Method
Given: 2C – 4D = 4
Determine the Solutin Set! Solve the Given Function for N:
2C – 4D = +4 –4D = –2C +4 D = +1/2 C – 1
Now: D = mC + b therefore m = + 1 / 2 and b = –1
Place a triangle
with a rise = 1 and run = 2 with a (
+ ) Slope
on the D axis
at –1
C
D
Check Solution Set with Arbitary Point: C = –2 then D = ?
Substitue C
= –2 into Linear Function and Solve
for D = – 1/2
2C – 4D = +4 +2(–2)
– 4D = +4 –4D = +8 D = –2
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Determine the Solution Set to a Linear Function by The Slope Method
Given: +2W + 3Z =
-6
Determine the
Solution Set! Solve the Given Function
for Z:
+2W +3Z = –6 +3Z = –2W +4 Z = –2/3Z – 2
Now: Z = mW + b therefore m = –2/3 and
b = –2
Place a triangle with a rise = 2 and run = 3 with a ( – ) Slope on the Z axis at –2
W
Z
Check Solution Set with Arbitary Point: W = –1 then Z = ?
Substitue W = –1 into Linear Function and Solve for Z = –4/3
+2W +3Z = –6 +2(–1) + 3Z = –6 +3Z = –4 Z = –4/3
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