two point form equation of a line
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Give the coordinates of the points
labeled in the Cartesian plane
(-3, 4)(2, 5)
(4, -1)
(0, -3)(-6, -2)
Plot the following
pairs of points
1.A (0, 1) & B(-6, 7)
2.C(-2,-1) & D(-5,-7)
3.E(4, 0) & F(2, -6)
Find the slope of the line
passing through each pair of
points
1.A (0, 1) & B(-6, 7)
2.C(-2,-1) & D(-5,-
7)
3.E(4, 0) & F(2, -6)
Obtaining Equation of the
line Using Two-Point-FormSlope – The slope of a line represented by m
is the ratio of the change in y to the change in
x which is defined by the equation
12
12
xx
yym
A linear equation in x and y can be written
in the form of
1
12
121 xx
xx
yyyy
Find the equation of the line passing
through the given points
1. (-2, 4) & (5, -3)
2
42
24
214
27
74
225
434
1
12
121
yx
yx
xy
xy
xy
xy
xxxx
yyyy
Let (x1, y1); (-2, 4)
(x2, y2); (5, -3)
2. (2, 1) & (5, 2) Let (x1, y1); (2, 1)
(x2, y2); (5, 2)
13
323
233
2113
23
11
225
121
1
12
121
yx
yx
xy
xy
xy
xy
xxxx
yyyy
Group
Activity
Find the equation of the line
passing through the given points
1. (2, 1) & (3, 3)
2. (1, 3) & (-2, 5)
3. (-3, 3) & (6, 0)
4. (4, -2) & (0, 6)
2x – y = 3
2x + 3y = 11
x + 3y = 6
2x + y = 6
1
12
121 xx
xx
yyyy
How do we
obtain the
equation of a line
passing through
two points?By using Two
Point Form
Find the equation of a line
passing through points.
1. (3, 0) & (0, 1)
2. (2, 1) & (5, 2)
3. (-4, 3) & (3, -3)
x + 3y = 3
x – 3y = - 1
6x + 7y = - 3
Do you know
the Band After
Image?
AGREEMENTSolve the following:
1. Find the equation of a
line passes through (-½
, 10 ) and (7/2, 10)
2. Find the equation of a
line passes through
(5/3, 5/6) and (2/3, 11/6)
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