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Write the equation of the line through (2,-4) that is perpendicular to the line Y= 1/3x-4 ​

User Nathanwhy
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1 Answer

5 votes

Answer:

y + 4 = -3(x - 2)

Explanation:

Perpendicular lines have opposite reciprocal slopes. Since the slope of the given line is 1/3, a perpendicular line would have a slope of -3. We know that the line goes through the point (2 , -4), so we can use point-slope form to write an equation.

Point slope:
y-y_(1) =m(x-x_(1))

y + 4 = -3(x - 2)

If necessary, this can be written in slope-intercept form as well. In this case, you'd solve for y.

User Balu Vyamajala
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7.3k points
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