Two point form Equation of a line
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The document provides information about finding the coordinates of points, plotting pairs of points, calculating the slope of lines between points, and obtaining the equation of a line using the two-point form. It gives examples of finding the slope and equation of lines passing through various pairs of points. It also includes examples for students to practice finding the equations of lines from given points.
Two point form Equation of a line
- 1. Give the coordinates of the points labeled in the Cartesian plane (-3, 4) (2, 5) (4, -1) (0, -3) (-6, -2)
- 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)
- 3. 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)
- 4. Obtaining Equation of the line Using Two-Point-Form Slope – 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 y y 2 1 x x 2 1 m A linear equation in x and y can be written in the form of 1 y y 2 1 y y 1 x x x x 2 1
- 5. Find the equation of the line passing through the given points 1. (-2, 4) & (5, -3) Let (x1, y1); (-2, 4) (x2, y2); (5, -3) y y 2 1 3 4 y x 7 y x y x 4 1 2 y x 4 2 x y 2 2 4 2 7 4 2 5 2 4 1 2 1 1 x y x x x x y y 2. (2, 1) & (5, 2) Let (x1, y1); (2, 1) (x2, y2); (5, 2) y y 2 1 2 1 y x 1 y x y x 3 1 1 2 y x 3 3 2 x y 3 2 3 3 1 2 3 1 2 5 2 1 1 2 1 1 x y x x x x y y
- 7. 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
- 8. 1 y y 2 1 y y 1 x x x x 2 1 How do we obtain the equation of a line passing through By using Two two points? Point Form
- 9. 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
- 10. Do you know the Band After Image?
- 11. AGREEMENT Solve 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)