If the line passing through the points (a, 2) and (6, 7) is parallel to the line passing through the points (4, 8) and (a + 3, 2), what is the value of a?
Thank you for the opportunity to help you with your question!
The answer :
we know the line pass through (a,2) and (6,7) so the equation of the line is :
y = mx + b to find m = (7-2)/(6-a) = 5/(6-a)
ane the other line pass through (4,8) and (a+3,2) so the equation of the line is :
y = nx + c to find n = (8-2)/(4-a-3) = 6/(1-a)
and we know the two line is parallel so n = m
so : 5/(6-a) = 6/(1-a)
so : 5(1-a) = 6(6-a)
so: 5 - 5a = 36 - 6a
so : 6a - 5a = 36 - 5
so : a = 31
Please if you don't understand something just ask i will answer you
I am glad to work with you just invite me each time you have any others question i will give you the best answers
Content will be erased after question is completed.
Enter the email address associated with your account, and we will email you a link to reset your password.
Forgot your password?