SOLUTION: How do you find the slope and equation of a line when you are just given two points?
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Question 8341: How do you find the slope and equation of a line when you are just given two points?
Answer by prabhjyot(165) (Show Source): You can put this solution on YOUR website!
Slope of a Line:
If a line passes through two distinct points P1(x1 , y1) and P2(x2, y2), its slope is given by:
m = (y2 - y1) / (x2 - x1)
with x2 not equal to x1.
There are two basic forms of a line, the point-slope and the standard
(the standard is sometimes also called the slope-intercept form).
They are:
Standard: y = mx+b
m is the slope
b is the y-intercept (the value of y when x=0)
Point-Slope: (y-y1) = m(x-x1)
m is the slope
(x1,y1) is the given point (some point on the line)
Given points (x1,y1) and (x2,y2) find the equation of the line.
1) get the slope by m = (y2-y1)/(x2-x1).
2) pick either (x1,y1) or (x2,y2) as the point to use with your
slope.
3) substitute values into the equation (y-y1) = m(x-x1)
thatz all!
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