Question 117316
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)