Question

1. Draw the graph of the equation, if
x=0, y=4 is a solution of the equation.
x=1, y=5 is a solution of the equation.
(-4,-4) lies on the graph of the equation.
(iv) Area of the triangle formed by the line (y-2x=4) and coordinate axes.​

Answer 1

Answer:

ANSWER

Given y−2x=4⇒y=2x+4

Table of Solutions

x y = 2x + 4 (x, y) Point

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

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

1 y = 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.