SOLUTION: 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

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