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Two point form Equation of a line
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.
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These slides present the coordinates of various points in the Cartesian plane and instruct on plotting pairs.
This slide discusses how to find the slope of lines between specified pairs of points using mathematical formulas.
These slides explain how to derive the equation of a line using the two-point form with examples involving specific points.
The group activity focuses on solving for line equations from additional pairs of points provided in various examples.
These slides continue to practice finding equations for lines based on additional sets of coordinate points.
Inquire into an unrelated topic followed by exercises to find equations of lines between specific coordinates.
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Two point form Equation of a line
- 1. Give the coordinatesof 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 slopeof 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 ofthe 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 equationof 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
- 6.
- 7. Find the equationof 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 equationof 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 thefollowing: 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)