Grade 9 & 10 math tutorial on coordinate graphs & parabolas for SAT, Math Kangaroo, and AMC10 Preparation.
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Coordinate Graphs
Grade 9 & 10 math tutorial on coordinate graphs & parabolas for SAT, Math Kangaroo, and AMC10 Preparation.
According to the Distance Formula, the distance d between any 2 points (x1, y1) and (x2, y2) on a coordinate plane can be expressed as
d2 = (x2-x1)2 + (y2-y1)2 More...
In coordinate graph, mid-point refers to the point that is at the same distance from two points A (x1, y1) and B (x2, y2). The coordinates of this mid-point M is: More...
The slope m of the line through the points (x1, y1) and (x 2, y 2) is given by
Suppose you have 2 lines: l and k. If l and k are perpendicular to each other, then the slope of perpendicular line k is the negative reciprocal of the slope of line l, ie Slopek = -1/Slopel
The following shows you how to determine the slope of a line and the slope of its perpendicular line: More...
A circle is the set of all points in a plane that are the same distance from the center. Suppose we have a circle centered at (0, 0). If (x, y) is a point on the circle, then the distance from the center to this point would be the radius, r. Given any point on the circle, x is the horizontal distance to y-axis and y is the vertical distance to x-axis. This forms a right triangle. From the Pythagorean Theorem, the equation of a circle centered at the origin is x2+y2=r2. More...
