A line passes through #(8 ,5 )# and #(2 ,1 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Feb 20, 2017
Explanation:
Consider the first line passing through the points
The gradient of this line is given by:
# m_1 = (Delta y)/(Delta x) = (5-1)/(8-2) 4/6 = 2/3 #
In order for the second line to be parallel to this point it must have the same gradient, So it passes through
# y-6=2/3(x-3) #
# y-6=2/3x-2 #
# y=2/3x+4 #
We can pick any point on this line , choose
# x= 0 => y=4 #
Hence