Question

if the lines ax-y-7=0 and 3y+x-9 =0 are perpendicular to each other find the value of a​

Answer 1

Answer:

Step-by-step explanation:

Concept: Slope of general equation of line ax+by+c=0 is m=−  

coefficient of y

coefficient of x  

​  

 

Therefore,

Slope of line 2x+3y−3=0 is =−  

3

2

​  

 

and slope of line x+ky+7=0 is −  

k

1

​  

 

Now we know that two lines are perpendicular if their product of slopes is −1

⇒−  

3

2

​  

×−  

k

1

​  

=−1

⇒k=−  

3

2

​