Question 1195340
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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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<pre>
The x-intercept is the point (-4,0).


The y-intercept is the point (0,5).


The slope of the line is  m = {{{(5-0)/(0-(-4))}}} = {{{5/4}}}.


An equation of the line is  y-5 = {{{(5/4)*(x-0)}}},  or  y - 5 = {{{(5/4)x}}}.



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 = {{{(5/4)x}}},  or  4x - 20 = 5x,  -20 = 5x - 4x,  x = -20.


Thus the coordinates of the point M are  (x,y) = (-20,-20).    <U>ANSWER</U>
</pre>

Solved.