Math Problem Statement
Consider the point and line below. Point Line (−7, 6) x + y = 5
(a) Write an equation of the line through the point parallel to the given line.
(b) Write an equation of the line through the point perpendicular to the given line
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slopes of Lines
Parallel and Perpendicular Lines
Formulas
Point-Slope Form: y - y1 = m(x - x1)
Slope of a Line: m = (y2 - y1) / (x2 - x1)
Theorems
Slopes of Parallel Lines: Parallel lines have equal slopes.
Slopes of Perpendicular Lines: Perpendicular lines have slopes that are negative reciprocals.
Suitable Grade Level
Grades 9-11
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