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The x and y intercepts of a straight line are -4 and 5 respectively.
A point M on the straight line is equidistant from the x and y axes.
Determine the coordinates of the point M
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The x-intercept is the point (-4,0).
The y-intercept is the point (0,5).
The slope of the line is m = = .
An equation of the line is y-5 = , or y - 5 = .
If the point M in this line is equidistant from the x- and y- axes,
then we should place x = y in the last equation.
It gives x - 5 = , or 4x - 20 = 5x, -20 = 5x - 4x, x = -20.
Thus the coordinates of the point M are (x,y) = (-20,-20). ANSWER
Solved.