|
Question 536145: Write an equation of a line that is perpendicular to y = 2x + 3 and
passes through (3,4).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation of a line that is perpendicular to y = 2x + 3 and
passes through (3,4).
**
Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
given: y = 2x + 3
slope of this line=2
slope of line perpendicular to given line=-1/2 (negative reciprocal)
equation: y=-x/2+b
solving for b using coordinates of given point (3,4)
4=-3/2+b
b=4+3/2=11/2
Equation of perpendicular line:
y=-x/2+11/2
|
|
|
| |
