x2 – x1 m = y2 – y1 y – y1 = m(x – x1)

www.iTutoring.com -­‐ NOTES Determining the Equation of a Line Given Two Points Name _________________________________ Date ___________________ Period _______ Given two points (x1,y1) and (x2,y2), the Slope between these points is
y2 – y1
m=
x2 – x1
Point-Slope Form of a Line
slope
y – y1 = m(x – x1)
(x,y) Point
To determine the equation of a line, you need an (x,y) point and a slope.
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1)
(1,5) and (4,-1)
To determine the equation of a line, you need an (x,y) point and a slope.
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1)
(-3,4) and (-1,-4)
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Determining the Equation of a Line Given Two Points Pg. 2 To determine the equation of a line, you need an (x,y) point and a slope.
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1)
(-1,2) and (0,5)
To determine the equation of a line, you need an (x,y) point and a slope.
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1)
(8,-2) and (12,-1)
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Determining the Equation of a Line Given Two Points Pg. 3 To determine the equation of a line, you need an (x,y) point and a slope.
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1)
(2,6) and (6,4)
To determine the equation of a line, you need an (x,y) point and a slope.
(x,y) Point:
m=
y2 – y1
x2 – x1
y – y1 = m(x – x1) point-slope form
Solve for y
y = mx + b
slope-intercept form
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Determining the Equation of a Line Given Two Points Pg. 4