A line passes through #(3 ,4 )# and #(7 ,3 )#. A second line passes through #(8 , 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
The second line will pass through its y-intercept which is
Explanation:
To solve this question, you need to find the slope of the first line from the given points on it. Then you can use the same slope (as the lines are parallel) to determine the y-intercept of the second line.
The slope formula states:
OR:
If we now use the given point
We can write this as:
To check, use the given point on the second line and your new point in the slope formula or you can graph these lines easily: