A line passes through #(4 ,9 )# and #(1 ,6 )#. A second line passes through #(3 ,7 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Oct 25, 2016
(0,4)
Explanation:
First of all, both of the lines are parallel to each other, meaning they have the same slope
To find the slope, we use the slope formula:
Plug in the numbers from the points of the 2 lines, and find the slope of both lines
The 1 is the slope of both of the lines, as parallel lines have the same slope.
Now, we can use the point-slope formula to get the slope-intercept equation of the second line
Plug in the numbers, and get the new formula
Now, we can get a second point for the second line: the y-intercept. To find the y-intercept, plug in 0 for the x value of the equation, and simplify. The resulting point found should be your new answer: