Question

The pair of equation x = – 4 and y = – 5 graphically represents lines which are
(a) intersecting at (- 5, – 4)
(b) intersecting at (- 4, – 5)
(c) intersecting at (5, 4)
(d) intersecting at (4, 5)​

Answer 1

Answer:

intersecting at (-4,-5)

Answer 2

Answer:

Option (b) is the correct answer.

Step-by-step explanation:

Consider the pair of equation as follows:

x = -4 and y = -5

Since x = -4 is a line parallel to y-axis.

And y = -5 is a line parallel to x-axis.

Plot both the equations on the graph as follows:

Form the graph,

Observe that the intersection point is (-4, -5) which lies in the III-Quadrant.

(a) Intersecting at (-5, -4)

(-5, -4) is not the right intersecting point.

Thus, option (a) is incorrect.

(b) Intersecting at (-4, -5)

(-4, -5) lies in the III-Quadrant and is the required intersecting point.

Thus, option (b) is correct.

(c) Intersecting at (5, 4)

Since (5, 4) lies in the I-Quadrant.

Thus, option (c) is incorrect.

(d) Intersecting at (4, 5)

Since (4, 5) lies in the I-Quadrant.

Thus, option (d) is incorrect.

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