Mathematics · 10

Coordinate Geometry Basics

Coordinate geometry uses algebra to study geometry by representing points on a plane using ordered pairs. It connects algebraic equations with geometr

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What is the slope of a horizontal line?

The slope of a horizontal line is 0 because all points have the same y-coordinate, so (y₂ - y₁) = 0. The line is parallel to the x-axis.

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How do you check if three points are collinear?

Three points are collinear if they lie on the same line. Check by: (1) Calculating area using the formula - if area = 0, they are collinear. (2) Finding slopes between pairs - if all slopes are equal, they are collinear.

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What does the equation y = 2x + 3 represent geometrically?

It represents a straight line with slope 2 and y-intercept 3. The line rises 2 units vertically for every 1 unit horizontally. It crosses the y-axis at (0, 3).

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