Determine the line parallel or perpendicular, Mathematics

Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified  by 7 y - 9 x = 15 .


Togive answer this we'll require the slopes of the two lines.  As we have two pointsfor the first line we can employ the formula for the slope,

m 1       =-1 -( -10)/6-(-2)=     9/8

Actually we don't need the equation of this line and thus we won't bother with it.

Now, to get the slope of the second line all we have to do is put it into slope-intercept form.

7 y = 9 x + 15

            y =       (9/7 )x +(15/7) ⇒   m2  = 9/7

Okay, as the two slopes aren't the similar (they're close, but yet not the same) the two lines are not parallel.  Also,

 (9 /8) (9 /7) = 81/56 ≠ -1

So the two lines aren't perpendicular either.

Thus, the two lines are neither parallel nor perpendicular.

Posted Date: 4/6/2013 6:07:26 AM | Location : United States

Related Discussions:- Determine the line parallel or perpendicular, Assignment Help, Ask Question on Determine the line parallel or perpendicular, Get Answer, Expert's Help, Determine the line parallel or perpendicular Discussions

Write discussion on Determine the line parallel or perpendicular
Your posts are moderated
Related Questions
Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Cartesian Graph of Density of Water - Temperature: Example:  The  density  of  water  was  measured  over  a  range  of  temperatures.   Plot the subsequent recorded data on

A straight line AB on the side of a hill is inclined at 15.0° to the horizontal. The axis of a tunnel 486ft. long is inclined 28.6° below the horizontal lies in a vertical plane wi

The area of a rectangular yard is 480 square feet. The yard is 24 feet wide. How many feet do I need to fence all four sides?

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

A farmer grows apples on her 600 acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"

if the diametre of the cylinder is 3.6 foot and its length is4.6foot,then its dimension is?

Owner of a computer repair shop has daily revenue with mean $7200 and SD $1200 Daily revenue for next 30 days will be monitored. What is probability that daily revenue for those 30