SOLUTION: Write an equation that is parrallel and perpendicular to the given line.
y=-1/3x+2
Algebra.Com
Question 118671: Write an equation that is parrallel and perpendicular to the given line.
y=-1/3x+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
An equation that is parallel has the same slope. So the slope of this parallel line is . Now just replace the 2 with any number such as 5 to get:
So one parallel line is
Notice if we graph the two equations, we can see that they are parallel. So this verifies our answer.
Graph of (red) and (green)
-------------
An equation that is perpendicular has an negated inverted slope. Since the original slope is , the perpendicular slope is
So the perpendicular slope is
Now just replace the slope of with the new slope to get a perpendicular line.
So one perpendicular line is
Notice if we graph the two equations, we can see that they are perpendicular. So this verifies our answer.
Graph of (red) and (green)
RELATED QUESTIONS
Write an equation that is parrallel and perpendicular to the given line.... (answered by MathLover1)
Write an equation that is parrallel and perpendicular to the given line.... (answered by stanbon)
Write an equation that is parrallel and perpendicular to the given line.... (answered by josmiceli)
Write an equation that is parrallel and perpendicular to the given line.... (answered by tutorcecilia)
Write an equation that is parrallel and perpendicular to the given line.... (answered by MathLover1)
i really need help
how do you write an equation of a line that contains the given... (answered by jim_thompson5910)
Write an equation of the line that passes through the given point and is perpendicular to (answered by stanbon)
Write the equation of the line L satisfing the given geometric conditions.
L has... (answered by jim_thompson5910)
wrie an equation parallel to the given line. write an equation perpendicular to the given (answered by stanbon)