Project work: a straight path between two places in school
Method
Choose any two places within your school, such as the main gate, the playground, a classroom or the library.
Show the two places on graph paper or a cartesian plane as two points with coordinates \( (x_1, y_1) \) and \( (x_2, y_2) \).
Calculate the slope of the line joining the two points.
Find the equation of the line joining the two points. Write an explanation of how this equation represents the straight path between these places in your school.
Suppose the path is moved 5 metres to the right or to the left. Explain what the equation of the new line would be.
Decide whether the slopes of the two equations are equal or not. Discuss with your teacher and draw a conclusion.
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