how do I find the slope of every line parallel to the points (4, 3) and (2,-5)?

Question

do I use the formula m=y v2-y v1/ x v2 -x v1 how do I know that they are parallel?????



how would I find the slope of the perpendicular lines to the points of (-7,6) and (2,3)

having trouble with (-2,3) and (5,1) keep getting -2/7 and I don't know if it is right.

(-2,3) and (5,1) needs to be perpendicular and I get
-2/7 what else do I need to do???

thanks

Answer 1

You found the slope correctly. It is -2/7 for the first two points. Every line that has that slope will be parallel to the line through those two points. To find the slope of any line, subtract the y coordinates and divide that by the difference in x coordinates.

Answer 2

First you need to find the slope of the line containing the points (4,3) and (2,-5). You do this by finding the difference in y and dividing it by the difference in x

The difference in y is 3-(-5)=8
The difference in x is 4-2=2
The slope of your line is 8/2=4

The process starts the same for perpendicular lines but then you find the negative inverse

Using the points (-7,6) and (2,3)
The difference in x is 6-3=3
The difference in y is -7-2=-9
The slope of your line containing (-7,6) and (2,3) is -3/9 or -1/3
The slope of the perpendicular lines is 3

Hope this helps
As for the problem that you added, if you are looking for the slope of the parallel lines you are correct. If you are looking for the slope of the perpendicular lines it would be positive and 7/2.

Answer 3

Lines with the same slope are parallel.

On the other hand, a line A which is perpendicular to line B has a slope of the negative reciprocal of the slope of line B.

For example,
If you are given y=2x+4,

lines with the slope of 2 are parallel to the given line, while
lines with the slope of -1/2 are perpendicular to the given line.

Use m= (y v2 - y v1) / (x v2 - x v1), then go back to what is asked?

Is it parallel? Is it perpendicular?


Hope this helped.

Answer 4

the slope of the line passing through the two points is

=(3+5)/(4-2)=4

by definition of parallelism the slope of every line is slope is same for every line

The slope of the perpendicular line to the points (-7,6) and (2,3 is

= (-7-2)/(6-2)
=-9/4

Answer 5

parallel lines have the same slope
m=(-5-3)/(2-4)=8/2=4
any line that satisfies y=4x+b will be parallel except
y=4x-13 which IS the line determined by (4, 3) & (2, -5)

slope of line between (-7,6) and (2,3)
m=(3-6)/(2--7)=-3/9=-1/3
slope of perpindivular is -1/(-1/3)=3
equations have the fprm y=3x+b

Answer 6

Lines are parallel, and only are they parallel if they have the same slope. (4,3) (2,-5)
(y1-y2)/(x1-x2)= 3- (-5) / 4-2 = 3+ (+5) / 2= 8/2 = 4
You only want the slope right... atleast that's what your question says.

Perpendicular lines are opposite in sine and reciprocals.
(-7,6) (2,3) Step one find the slope first:
(y1-y2)/(x1-x2)= 6-3 / 2- (-7)= 3 / 2+ (+7)= 3/9 is the slope for that line and you need to find the perpendicular line:
take the opposite sign: go from +3/9 to -3/9 and now you must do the reciprocal: from 3/9 to 9/3
your final answer is: -9/3 or -3

add. info/details : (-2,3) (5,1)
(y1-y2)/(x1-x2)= 3-1 / -2-5= 2/ -2+ (-5)=2/-7
perp. lines are opp. in sign and reciprical:
2/-7-->reciprical-->-7/2 and opposite sign is +7/2
your final answer is: 7/2

Answer 7

Slope is "rise over run". Between your two points, the run is your change in X, or (4-2=)2, and the rise is your change in Y (3 - -5) = 8, so the slope is 8/2 = 4.

All parallel lines have the same slope, so all lines parallel to the one running between (4,3) and (2,-5) will also have the slope 4.

Answer 8

That is the correct formula. Any two lines that have the same slope are parallel to each other.

For perpendicular lines the slope would be the negative of the reciprocal of the slope of the first line. In your example, the slope is -1/3, so the slope of any line perpendicular to that line would be 3.

Answer 9

No look you subrtact 3 by -5 and 4 by 2 and divide it and that will be your answer

Answer 10

use the formula m = (y2 - y1) / (x2 - x1)
(m is slope)

all parallel lines have the same slope by definition