College Entrance Test Review
Math Session 4 Coordinate Geometry
Formulas for the Slope of a line, Midpoint, Distance between any two points,
Equations of a Line
4. Recall: Undefined terms in geometry? POINT – now described as (x, y) LINE – we will define as an equation: where x & y are unknowns, and a and b are known quantities. PLANE – the Cartesian plane (previous slide)
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8. Graph of: Line segment with endpoints (7, 2) and (3, -5). Plotted by www.wolframalpha.com.
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10. Midpoint – is like getting the AVERAGE – is a POINT, so your answer must have two coordinates. – Get the average of the X coordinates, and the average of the Y coordinates Midpoint Formula:
11. Given the points P(7, 2) and Q(3,-5) in a plane. Find the midpoint of these two points.
12. Distance between Two Points (or the length of a line segment) Given the points P(7, 2) and Q(3,-5) in a plane. Find the distance between these two points.
13. How do we get the length of the hypotenuse of a right triangle? Pythagorean Theorem: