perpendicular lines
Find the equation of the line that is
perpendicular to y = −4x + 10
and passes though the point (7,2)
The slope of y=−4x+10 is: −4
The negative reciprocal of that slope is:
m = −1−4 = 14
So the perpendicular line will have a slope of 1/4:
y − y1 = (1/4)(x − x1)
And now put in the point (7,2):
y − 2 = (1/4)(x − 7)
And that answer is OK, but let's also put it in "y=mx+b" form:
y − 2 = x/4 − 7/4
y = x/4 + 1/4
Answer:
I think it's neither parallel nor perpendicular.
step by step explanation:
- Two lines will be parallel when their slopes are equal, and two lines will be perpendicular when their slopes are negative reciprocals of each other. Our slopes for these two equations are the coefficient for the x value. Both slopes are not equal so these lines are not parallel.
- Perpendicular Lines
Two lines are Perpendicular when they meet at a right angle (90°).
