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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
