Find the Value of c Given the Distance from a Point to a Line

Math Problem Statement

If the distance of the point (2, 3) from the line 4x + 3y + c = 0 is 7, find the value of c.

Solution

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Distance Formula

Formulas

Distance from a point to a line: |Ax + By + C| / √(A^2 + B^2)

Theorems

Suitable Grade Level

Grades 9-12

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