swetak28

07-15-2004, 06:40 PM

Can someone furnish formulae for calculating slope of a line,relationship between slope of parallel and perpendicular lines?

sweta

sweta

View Full Version : need formulae for slope of line

swetak28

07-15-2004, 06:40 PM

Can someone furnish formulae for calculating slope of a line,relationship between slope of parallel and perpendicular lines?

sweta

sweta

greenglobs

07-15-2004, 06:50 PM

well for any two points (x1,y1) and (x2,y2) the slope is....

m=(y2-y1)/(x2-x1)

maybe you have heard the old expression rise over run. slope is simply the amount of change in the y-direction divided by the amount of change in the x-direction.

also the relationship between parallel and perpindicular lines is straight forward.

for two lines to be parallel, they must have the same slope. now the general equation for a line is y=mx +b, where m is slope and b is the y-intercept. here is an example of two parallel lines.

y=5x + 6

y=5x - 20

notice the only thing that matters is the m value.

now for a line to perpindicular to another, the slope must be the negative reciprical. that is if one line has slope m, the other line has slope -1/m.

here is an example.

y=5x + 6

y=-1/5x - 8

notice again the only thing that matters the m value.

i hope this helps

m=(y2-y1)/(x2-x1)

maybe you have heard the old expression rise over run. slope is simply the amount of change in the y-direction divided by the amount of change in the x-direction.

also the relationship between parallel and perpindicular lines is straight forward.

for two lines to be parallel, they must have the same slope. now the general equation for a line is y=mx +b, where m is slope and b is the y-intercept. here is an example of two parallel lines.

y=5x + 6

y=5x - 20

notice the only thing that matters is the m value.

now for a line to perpindicular to another, the slope must be the negative reciprical. that is if one line has slope m, the other line has slope -1/m.

here is an example.

y=5x + 6

y=-1/5x - 8

notice again the only thing that matters the m value.

i hope this helps

sri830

07-15-2004, 06:54 PM

If the equation is of the form y = mx + c then slope of the line is m. You can also find slope of any linear line by differentating y with respect to x. That is dy/dx. If you know the end points of any line, suppose (x1, y1) and (x2, y2)then the slope between (x1, y1) and (x2, y2) is (y2 - y1)/(x2 - x1)

Two lines are parallel if their slopes are the same.

Two lines are perpendicular if their slopes are negative reciprocals of each other

Two lines are parallel if their slopes are the same.

Two lines are perpendicular if their slopes are negative reciprocals of each other

swetak28

07-15-2004, 07:29 PM

thanx a lot guys