Mathematics

Mathematics

Problem

Find the slope of a line parallel to each given line. y=14x+4y = \frac{1}{4}x + 4
Intuitive explanation

Parallel lines have identical slopes—they never meet because they rise and fall at exactly the same rate. Since the equation is already in slope-intercept form y=mx+by = mx + b, where mm is the slope, you just need to identify the coefficient of xx. Any line parallel to this one will have that same slope.

Intuitive explanation

Parallel lines have identical slopes—they never meet because they rise and fall at exactly the same rate. Since the equation is already in slope-intercept form y=mx+by = mx + b, where mm is the slope, you just need to identify the coefficient of xx. Any line parallel to this one will have that same slope.

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