A line passes through #(3 ,4 )# and #(4 ,7 )#. A second line passes through #(7 ,9 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Jan 26, 2018
Any point on the line
Explanation:
Slope formula from two points:
Slope of the given line:
The equation of this line using point-slope form:
Since the unknown line is parallel to this one, it has the same slope. Using the newfound slope, we can craft an equation for the new line:
This is the "second line" that the question mentions. Now, we just need to pick a point anywhere on this line by plugging in an
A point on the line is