Question

Give the equations of two lines passing through (5,7). How many more such lines are there?​

Answer 1

Answer:

$x+y-12=0 , x-y+2=0.$

Infinite.

Step-by-step explanation:

According to the question , we are given a point (5,7). We need to find out two lines which are passing through this point and how many lines can pass through the point. At first we need to know what is a equation of a straight line.

$ax+by+c=0$ is represent a straight line. If we put x=5 and y=7 then the equations will be $5a+7b+c=0$. Now a , b , c can any value.

So if we are aksed any any two equations of line then we can tell $x+y-12=0 , x-y+2=0.$

For the second question our answer will be infinite.

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