Question

Give the equations of three lines passing through (4, -5). How many more such lines are there and
why?​

Answer 1

Answer:

(4,-5)

Equations passing through (4,-5) :

x + y = -1

2x + y = 3

y - x = -9

There are infintely many lines that can pass through (4,-5) since it is a linear equation in two variables.

Answer 2

Answer: There  are infinitely many lines passing through (4,-5) because infinite lines can pass through a single point.

Step-by-step explanation:There  are infinitely many lines passing through (4,-5) because infinite lines can pass through a single point.

Here are the equations of three lines passing through (4,-5)  are

1. x + y = -1

put x = 4 and y = -5 ,we will get

4 + (-5) = 1

hence point satisfies the equation

2. 2x  + y = 3

put x = 4 and y = -5 ,we will get

2× 4 + (-5) = 3

8 - 5 = 3

3 = 3

hence point satisfies the equation

3. y - x = -9

put x = 4 and y = -5 ,we will get

-5 -4 = -9

-9 = -9

hence point satisfies the equation

To know more about linear equations from the given link

https://brainly.in/question/671043

To know more about quadratic equations from the given link

https://brainly.in/question/1092984

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