A line passes through #(9 ,5 )# and #(2 ,8 )#. A second line passes through #(7 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Aug 25, 2016
(0,6)
Explanation:
The line passing through (9,5) and (2,8) has a gradient of
The difference in the y values of the two points divided by the difference in the x values.
The general equation of a line is
where m is the gradient and c is the y intercept
So the equation of the line passing through (7,3) with a gradient of
But we know the point (7,3) is on the line so substitute in the values to get the equation as
When x =0 y=6
