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　　Distance in the Coordinate Plane

　　Distance = if you’re measuring the distance between the points (x1, y1) and (x2,y2).

　　Distance in the Coordinate Space Distance

　　Distance = if you’re measuring the distance between the points (x1, y1, z1) and (x2, y2, z2).

　　Midpoint between Two Points

　　Midpoint = (, ), where the endpoints of a line segment are (x1, y1) and (x2, y2).

　　Point-Slope Form of the Equation of a Line

　　y– y1= m(x– x1), where mis the slope of the line, and (x1,y1) is a point on the line.

　　Slope-Intercept Form of the Equation of a Line

　　y = mx + b, where mis the slope of the line, and bis the y-intercept of the line. Both mand bare constants.

　　Slope of a Line

　　Slope = , where two points on the line are (x1, y1) and (x2, y2).

　　Standard Form of the Equation of a Circle

　　(x – h)2+ (y – k)2= r2, where (h, k) is the center of the circle, and ris the radius. When centered at the origin, the equation simplifies to x2+ y2= r2.

　　Standard Form of the Equation of a Parabola

　　y = a(x – h)2+ k, where a, h, and kare constants.

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