Question

Find an equation of the line that satisfies the given conditons. Through (1,-6); parallel to the line x+2y=6. How do I find it ?

Answer 1

find the slope of \(x+2y=6\) first
your line will have the same slope

Answer 2

You have to use the equation y = mx + b
m = the slope of the line
when you solve x + 2y = 6 you get y = 1/2 x +3
When a line is parallel to that it has the same slope so the slope is 1/2
Now you insert the x,y coordinates that you know 1, -6
You now have -6 = 1/2(1) + b
Solve that for that value of b and you have your answer

Answer 3

okay thank you both so much for your help :)

Answer 4

well except that it is wrong

Answer 5

when you solve x + 2y = 6 you get y = 1/2 x +3
is not correct
when you solve x + 2y = 6 you get y = -1/2 x +3

Answer 6

oh okay makes sense since when you subtract the x it turns negative on the other side