A line passes through #(5 ,8 )# and #(4 ,9 )#. 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
Gaya3
Oct 11, 2017

#(0,8),(1,7)#.......

Explanation:

Slope of line between #(5,8)# and #(4,9)=(9-8)/(4-5) # #=-1#

Slope of line passing through #(3,5)# should be #-1# as they are parallel.

To find the coordinates of the second line:
We can use the slope formula #y=mx+b#.
Here, #y=5, x=3# from #(3,5)#.

So, #y=mx+b => 5=(-1)(3)+b#
#=>5+3=b#
#=>b=8#

So, the equation becomes #y=-1x+8#.

We can plug in any value for #x# now.

Say,

  • #y = -1*0+8=8->(0,8)#
  • #y = -1*1+8=7->(1, 7)# and so on.......
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