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through: (3, 2) and (-4, -5) Answer: Given: P 1 (3,2), P 2 (-4,-5) point-slope form? y – y 1 = m(x – x 1 ) y – y 1 = m(x – x 1 ) y – 2 = 1(x – 3) y – 2 = (x – 3) Example 3 Write the slope-intercept form of the equation of the line through the given points.  It is used to shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle Example 1 What is the equation of a line that goes through (-5, 1) with a slope of 4/5? Answer: Given: P(-5, 1) x = - 5 y = 1 m = 4/ y – y 1 = m(x – x 1 ) y – 1 = (x – (-5)) y – 1 = (x + 5) 5(y-1) = 4(x + 5) 5y – 5 = 4x + 20 5y – 4x = 20 + 5 -4x + 5y = 25 4x – 5y = -25 (standard form) 4x – 5y = - 25 - 5y = - 4x – 25 (slope-intercept form) Example 2 Write the point-slope form of the equation of the line through the given points.  Perpendicular lines have slopes that are negative reciprocals of each other.  It is used to show parallel and perpendicular lines.  Lines with the same midpoint bisects each other. GEOMETRY PROOFS DISTANCE FORMULA MIDPOINT FORMULA SLOPE FORMULA PYTHAGOREAN THEOREM  It is used to show line segments are equal. Unit Operations of Chemical Engineering (Warren L.Principios de Anatomia E Fisiologia (12a.Intermediate Accounting (Conrado Valix, Jose Peralta, Christian Aris Valix).Conceptual Framework and Accounting Standards (Conrado T.

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