Download presentation

Presentation is loading. Please wait.

Published byAlison Cockcroft Modified over 4 years ago

1
3.2 Linear Programming 3 Credits AS 91574

2
I can plot linear equations I can find the points of intersection

3
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

4
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)

5
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

6
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)

7
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

8
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

9
I can plot linear equations – Nulake page 5 – 6 – work sheet I can find the points of intersection

Similar presentations

OK

Slope-Intercept and Point-Slope Forms of a Linear Equation.

Slope-Intercept and Point-Slope Forms of a Linear Equation.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google