A line passes through #(2 ,3 )# and #( 6, 2 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Any set of points you put into that equation, should be parallel to the first line.
Explanation:
If two lines are parallel to each other, then they have the same slope. To find the slope of the first line, use point slope formula:
Plug the numbers into the formula
So, the slope is
Next, find the equation of the second line using this form:
Now, to find
So, the equation should look like
Any set of points you put into that equation, should be parallel to the first line.
For example, if you put 0 in for x and solve, your y would be