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
Geometry
Linear Equations
Distance between Point and Line
Intersection of Lines
Formulas
Formula for the distance between a point (x1, y1) and a line Ax + By + C = 0: d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
Solving systems of linear equations using substitution or elimination to find intersection points
Theorems
Distance formula between a point and a line
Solving system of linear equations
Suitable Grade Level
Grades 10-12
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