Perpendicular LINES.....?

Question

This is the problem:

http://img260.imageshack.us/img260/5885/poy21fm4.png

How can I solve this? I need to know for study material.

Answer 1

Hi,

Since the line you are given is in slope-intercept form, y = mx + b, it is easy to see its slope value, m, is 2.

A perpendicular line will have a slope that is the negative reciprocal of 2. That would be 2 or 2/1 flipped upside down, with its sign changed.So the perpendicular slope is -1/2.

Filling this slope of -1/2 for "m " with our new point (2,5) as the values of x ( x = 2) and y ( y = 5), we can write the equation in point-slope form: Y - y. = m(X - x) as

Y - 5 = -1/2(x - 2) Distributing we get:

Y - 5 = -1/2x + 1 Adding 5 we get slope-intercept form:

y = -1/2x + 6

The slope is -1/2 and the y intercept is 6.

I hope that helps!! :-)

Answer 2

Perpendicular lines have slopes which are negative reciprocals of each other.
The slope of the line y = 2x + 2 is the coefficient of x which is 2. The negative reciprocal of 2 is -1/2. So the slope of the perpendicular line is -1/2.
A slope of -1/2 means that as the line goes down 1 unit it goes 2 units to the right. So from the point (2,5) go up 1 unit and 2 units to the left. That takes you to the y intercept (0,6).

Answer 3

y=2*x+2
If the y and x is not in the same side of the equation just take the coefficient of x as the slope.
So, Slope=2.
Perpendicular lines's slope will be -1 if multiplied so
Slope' * Slope = -1
Slope' * 2 =-1
Slope' = -1/2

The line equation will be in the from of y=-1/2x+a, since the line goes through (2,5) the value of a can be found by this steps :
5=-1/2*2+a
5=-1+a
a=6

The equation will be y=-x/2 + 6

Use a software called Maple if you want to simplify the process. Go to www.geocities.com/orichalc_of_moon/Maple_Tutorial/geometry2db.html
for the tutorial.

Answer 4

Like the other girl said you have to plug that stuff into the original equasion. If you are given a set of points and a line that is perp= The slope is a negitive INVERSE therefore he answer is WRONG. I am sorry

The new equasion is 5= -1/2(2)+b and Yint is then 6


So you answers are yint=6 and slope is -1/2

Answer 5

if two lines are perpendicular, then the product of their slopes is -1 (exception: horizontal / vertical lines)

the slope of the new line is -1/2

then use the point slope form point is (2,5), slope is (-1/2) to get the equation of the new line:

(y - 5)=(-1/2)(x - 2)

multiplying both sides by 2 we get:
2y - 10= - x + 2

to get y-intercept set x = 0

2y - 10 = 2

y = 6

so the y-intercept is 6

Answer 6

PLug in the new value in the equasion y=mx+b and solve for be with the new values in for X and Y..... remember that perpenducular (spelling) lines are negitive of their counterparts.... therefore the slope when solving that equasion is going to be -2.

NEW EQUASION= 5=-2(2)+b solved b=9

Therefore slope = -2 and Y inter=9
y=-2x+9

Answer 7

slope is -1/2 ( if two lines perpendular then a x a= -1)
so the intercept is 6