Question

The pair of equations x = -2 and y = 5 represent graphically,
1 point
Intersecting lines
Parallel lines
Coinciding lines
lines intersecting at the origin

Answer 1

Step-by-step explanation:

Intersecting lines. Please mark me as brainliest

Answer 2

Answer:

Intersecting lines .

Note:

★ If we consider two lines whose equations are ax + by + c = 0 and a'x + b'y + c' = 0 ;

Then ;

• They are intersecting if a/a' ≠ b/b'

• They are coincident if a/a' = b/b' = c/c'

• They are parallel if a/a' = b/b' = c/c'

Solution:

Here,

The given equations of lines are ;

x = -2

y = 5

The given system of lines can be rewritten as ;

x + 2 = 0 => x + 0•y + 2 = 0

y - 5 = 0 => 0•x + y - 5 = 0

Clearly,

a = 1

a' = 0

b = 0

b' = 1

c = 2

c' = -5

Thus,

a/a' = 1/0 = ∞

b/b' = 0/1 = 0

c/c' = 2/-5 = -2/5

Clearly,

a/a' ≠ b/b'

Hence,

The given lines are intersecting.

Moreover,

The given lines will intersect at the point (–2,5)