Finding the equation of a line

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Presentation transcript:

Finding the equation of a line Given two points

Consider the line joining (-2, 5) and (6, -1) Example: Consider the line joining (-2, 5) and (6, -1) The slope joining any two points on the line must be the same x y (-2, 5) y = rise •(x, y) (6, -1) x = run So the slope joining (x, y) to any other point on the line must be the same. Any point on the line (x, y) must satisfy the conditions of this equation

We can simplify the following equation by cross multiplying Expand the brackets Isolate y Simplifying, we get the equation of the line slope y-int

In practice we will calculate the equation as follows: A line passes through the points (-2, 5) and (6, -1) Find the slope of the line: b) Find the equation of the line: Replace m, x and y Use the point (-2, 5)