Math Problem Statement

Encuentre la distancia entre la recta paralela a -3x+4y=-5 y que pasa por el punto (-1, -1), y el punto de intersección de las rectas -7x+2y=4 y 2x-8y =-1.

Solution

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Math Problem Analysis

Mathematical Concepts

Analytic Geometry
Linear Equations
Parallel Lines
Distance Between Point and Line

Formulas

Point-Slope form of a line: y - y1 = m(x - x1)
Distance from a point to a line: d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

Theorems

Equation of Parallel Lines
System of Linear Equations
Distance from Point to Line Formula

Suitable Grade Level

Grades 10-12