ASSIGNMENT 2 Option 2: Graphs


1 Consider: 2y − 6x − 8 = 0 1.1 Write the equation in the standard form. 1.2 The gradient of the line above is ____________ . 1.3 The y-intercept of the line above is ___________ . 1.4 Calculate the x-intercept of the line.


1.5 Show with calculations if the point (2; 2) lies on the line.


2 Sketch the following graphs on the same set of axes. Use only the given method.


2.1 y = 2x + 3 (gradient intercept method) 2.2 −4x − 2y = 6 (dual intercept method)


2.3 Explain the relationship between the graphs in 2.1 and 2.2.


3 Give the equations of the graphs below: 3.1


3.2


2 3 4 5 6 7


0 1


–7 –6 –5 –4 –3 – –12 –1 (4) 3.3 1 1 3 3.4 .(–2; 4) 1


2 3


0 1


–1


–2 –1


0 1 2


(3) (3) (1)


(2) (1) (1) (2) (3)


–2 (6)


4 Use a graph to solve the simultaneous equations: x + 2y = 10 3x + y = 10


Assignment 2: Option 2: Graphs (4) 439


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