Perpendicular lines have slopes that are negative reciprocals of one another.
Since the slope mentioned is -6/5 it’s negative reciprocal would be +5/6.
the problem tells us it’s y-intercept is 3
slope intercept form of an equation is:
y = mx + b (where m = slope and b = y-intercept)
plugging our two knowns in, m and b, we get the equation of the perpendicular line:
y = 5/6x + 3
I hope this helps and is the BRAINLIEST!
Great luck with your studies :)
