Question

Please help will mark as brainliest pls show work

Answer 1

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Answer:

  y = 1/5x +8

Step-by-step explanation:

The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:

  m = -1/(-5) = 1/5

The y-intercept (b) can be found from this and the given point:

  b = y -mx

  b = 9 -(1/5)(5) = 8

Then the slope-intercept equation can be written ...

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = 1/5x +8

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Additional comment

Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -9 = 1/5(x -5) . . . . . an equation for line j