Example 10 : 2x + 3y + 7 = 0 and 4x + 6y + 2 = 0
are two straight lines. Are they parallel to each
other?
Answers
Answer:
Yesss they are parallel to each other.
Answer:
Given lines are parallel to each other
Step-by-step explanation:
Given lines
2x + 3y + 7 = 0 _ (1)
4x + 6y + 2 = 0 _ (2)
⇒ given lines are two straight lines
here we need to check whether they are parallel to each other
Note :
If two lines are parallel to each other then slopes of two lines are equal
⇒ the slope of line (1) = the slope of line (2)
Slope of line (1) = - ( coefficient of x ) / coefficient of y )
= - ( 2 / 3 )
Slope of line (2) = - ( coefficient of x ) / coefficient of y)
= - ( 4 / 6) = - 2/3
⇒ slope of line (1) = slope of line (2)
⇒ given lines are parallel to each other