Question

Which equation represents the line that is perpendicular to y = 5x + 4 and passes through the point (-5, 2)?

Answer 1

y = (-1/5)x + 1

Explanation:

The slope of this perpendicular line is the negative reciprocal of the slope of the given line y = 5x + 4: -1/5.

Applying the slope-intercept form of the equation of a line, we get:

2 = (-1/5)(-5) + b, or:

2 = 1 + b

Therefore, b = 1 and the desired equation is:

y = (-1/5)x + 1

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