# 3.2 Linear Programming 3 Credits AS 91574. I can plot linear equations I can find the points of intersection.

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3.2 Linear Programming 3 Credits AS 91574

I can plot linear equations I can find the points of intersection

try these... Draw axes with x from -4 to 4 and y from -8 to 6 Then plot the following graphs on the same axes… a) y=3x-4 b) y=2x+1

You need 3 points to plot a straight a good start can be x = 0 and y = 0 for y = 2x + 1 this gives (0, 1), (-0.5, 0) and at random choose x = 1 (1, 3) with y = 3x - 4 (0, -4), (-1.3, 0) and (1, -1)

0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = 2x + 1 y = 3x – 4

This time you need to rearrange the formula first (unless you can do it in your head?) a good start can be x = 0 and y = 0 for 2y = x + 10 rearranges to y = 0.5x + 5 which gives (0, 5), (-10, 0) and (almost) at random choose x = 2 (2, 7) with 0.5y = x – 2.5 rearrange to get y = 2x - 5 (0, -5), (-2.5, 0) and (3, 1)

0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = 2x - 5y = ½x + 5

Finding points of intersection use your calculator! select Equations, Simultaneous and two unknowns just like you did for 3.15! 188x + 290y = 2315 120x + 400y = 1800 should give you x = 10 and y = 1.5

I can plot linear equations – Nulake page 5 – 6 – work sheet I can find the points of intersection

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