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
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.......