mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Writing Equations of Parallel Lines

Writing Equations of Parallel Lines 1.3 - Solution

arrow_back Return to Writing Equations of Parallel Lines
Parallel lines have the same slope. Let's start by considering the given line. We see that the slope is Therefore, all parallel lines to the given one will have a slope of Let's write a partial equation of these lines in slope-intercept form. Finally, we are told that the line whose equation we are asked to write passes through the origin. To find its intercept we will substitute for and
Solve for
Now that we know that we can write the equation of the parallel line to through the origin.

Alternative Solution

Another way of finding the intercept

If the lines are parallel, then they have the same slope. We can write a partial equation of our line. Since we are told the line passes through the origin, we know its intercept is