maryjanevance maryjanevance
  • 20-12-2022
  • Mathematics
contestada


8. Write the equation of a line that passes through (8,6) and is perpendicular to the line y = - 4x -3

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bahaakaleem1 bahaakaleem1
  • 20-12-2022

Answer:

y = 1/4x + 4

Step-by-step explanation:

perpedicular line means that the gradients are negative reciprocals to each other  (result to -1)

so -4's negative reciprocal is 1/4, the perpendicular equation would be
y = 1/4x + c
so find c, substitute the x and y values with the coordinates given,
6 = 1/4(8) + c

6 = 2 + c

                 (subtract 2 from both sides)

4 = c

therefore the equation is y = 1/4x + 4

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