Co-ordinate geometry

Question

(x-3)² + (y-4)² = 25

Write down the equation of the diametre of this circle which passes through the origin.

Answer 1

Determine the equation of the line passing through (3,4) and (0,0). Use (3,4) because that is the center of the circle (which any diameter must pass through). You are given (0,0) and can confirm that indeed (0,0) lies on the circle by substituting x=0 and y=0 into the equation of the circle.

Find the slope between the two indicated points and use point-slope or slope-intercept.

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