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 m is 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 m is the slope of the line, and b is the y-intercept of the line. Both m and b are 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 r is 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 k are constants.

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