A line passes through #(2 ,3 )# and #( 4, 5 )#. 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
See a solution process below:
Explanation:
First, we need to determine the slope of the first line. The slope can be found by using the formula:
Where
Substituting the values from the points in the problem gives:
Because the problem states the two lines are parallel therefore the second line will have the same slope of
Because we have a slope and one point for the second line we can write an equation for the line using the point-slope formula. The point-slope form of a linear equation is:
Where
Substituting the values from the point in the problem and slope we calculated gives:
To find another point on this second line substitute any number you want for
I am going to choose an easy number -
So the point would be: