SOLUTION: Determine without graphing whether each pair of lines is parallel,perpendicular,or neither y=2/3x+1 3y=2x-3 y=2x+5 2y-x=6 Find the point-slope equation for each line containi

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Question 422390: Determine without graphing whether each pair of lines is parallel,perpendicular,or neither y=2/3x+1 3y=2x-3 y=2x+5 2y-x=6
Find the point-slope equation for each line containing the given point and having the given slope(2,5),m=2 (-4,0),m=-1/2
Find the slope-intercept equation for each line containing the given pair of points (-2,5) and (-1,4)

Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


You don't have a math problem, you have a reading problem. Go back and look at the instructions for posting on this site. If you don't understand the instruction: "One question per post", get someone to explain it to you.

For your first question, use the following rules:

1. If the slopes are equal, the lines are parallel.

2. If the slopes are negative reciprocals, then the lines are perpendicular.

3. Otherwise, the lines are neither parallel nor perpendicular.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

Are the following lines parallel(same slope),perpendicular(negative reciprocals),or neither 

y= 2/3x+1    |m = (2/3)  AND 3y=2x-3  OR y=(2/3)x - 1  Parallel

y= 2x+5     | m = 2  AND  2y-x=6 OR y=(1/2)x + 3  |m=(1/2) Neither

Find the point-slope equation for each line containing the given point and  slope:

(2,5),m=2                | y =2x + b 

                           5 = 4 + b  and (b = 1)         y = 2x + 1

(-4,0),m=-1/2            | y = (-1/2)x +b  

                           0 = (-1/2)*-4 + b and (b =-2)   y=(-1/2)x - 2

find the slope-intercept equation for each line containing the given pair of points:

Using the point-slope formula, 

(-2,5)and

(-1,4) m = 1/-1 = -1     |y= -x + b 

                          4 = 1 + b  and (b=3)        y = -x +3 

 

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