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

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plz HELP

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

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Mathematics
2 months
2021-07-24T00:31:41+00:00
2021-07-24T00:31:41+00:00 1 Answers
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## Answers ( )

Answer:y + 4 = -3(x – 2)

Step-by-step 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 + 4 = -3(x – 2)

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