Question

Graph the lines by making a table. a. y = 2x = 4

Answer 1

Answer:

Given y-2x=4 →y=2x+4

Table of Solutions

xy = 2x + 4(x, y) * P * o * i * n * t

0 y = 2(0) + 4 = 4 (0,4)A(0,4)

2 y = 2(-2) + 4 = 0 (-2, 0) B(-2, 0)

1y = 2(1) + 4 = 6(1, 6) C(1, 6)

Plotting the points A, B and C on the graph paper and joint them to get the straight line BC as shown in graph sheet. This line is the required graph of the equation y - 2x = 4 .

(i) Plot the point (2, 8) on the graph paper. From the graph it is clear that the point (2, 8) lies on the line.

Checking algebraically: On substituting (2, 8) in the

given equation, we get LHS y-2x=8-2×2=8-4-4 RHS, So (2, 8) is a solution

(ii) Plot the point (4, 2) on the graph paper. You fin that (4, 2) does not lie on the line.

Checking algebraically: By substituting (4, 2) in the given equation we have

LHS =y-2x=2-2×4-2-8--6

=RHS, So (4, 2) is not a solution.

Step-by-step explanation:

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