Share
Consider the line y=-5/6x-4. Find the equation of the line that is parallel to this line and passes through the point (-6,-2).
Question
Consider the line y=-5/6x-4.
Find the equation of the line that is parallel to this line and passes through the point (-6,-2).
Find the equation of the line that is perpendicular to this line and passes through the point (-6,-2).
in progress
0
Mathematics
4 years
2021-07-18T10:21:32+00:00
2021-07-18T10:21:32+00:00 1 Answers
56 views
0
Answers ( )
Answer:
Lines that are parallel have the same gradient.
Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.
So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))—>y=-5/6x-7.
Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.