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Write the point-slope form of the line that passes through (5, 5) and is PERPENDICULAR to a line with a slope of 1/4


PLS HELP ASAP I FORGOT HOW TO DO THISJHGHJKLJHG
(edit oops this is my moms account sorry mom)

Sagot :

sqdancefan

Answer:

  y -5 = -4(x -5)

Step-by-step explanation:

You want the line through (5, 5) that is perpendicular to one with slope 1/4.

Perpendicular lines

Perpendicular lines have slopes that are the opposite reciprocals of one another. Your desired line has slope ...

  m = -1/(1/4) = -4

Point-slope equation

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For your line, you have m = -4, (h, k) = (5, 5), so the equation is ...

  y -5 = -4(x -5)

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