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Question 117316This question is from textbook Glencoe Geometry
: Using graph paper, graph the question and plot the given ordered pair. Then construct a perpendicular segment and find the distance from the point to the line.
24. y = 4x, (5, 3)
I have no idea what y = 4x could mean except that maybe y was four times whatever x was, and that was the ordered pair. If so, I have no idea how to figure out what x is. Thanks in advance!
This question is from textbook Glencoe Geometry
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! the given ordered pair is the point (5,3)
the ordered pairs from y=4x are the ones you describe, the y value is 4 times the x value
___ (0,0), (-1,-4), (1,4), (-3,-12), (3,12), etc. ___ these points form a line
the distance from the point to the line is the distance along a perpendicular to the line that passes through the point
the slope of the line is 4, so the slope of the perpendicular is -1/4
___ the equation of the perpendicular is y-3=(-1/4)(x-5) or 4y=-x+17
the point of intersection is found using 4(4x)=-x+17 ___ 16x=-x+17 ___ x=1, so y=4
the distance is between (1,4) and (5,3)
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