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)