In order to find y and x intercepts, we first need to know does they mean...
What is x intercept ?
It can be represented as point of a line intercepting x axis, if any point is to intercept x axis it's vertical position(y) has to be 0.
What is y intercept ?
if any point is to intercept y axis it's horizontal position(x) needs be 0.
We can determine x intercept by setting y = 0
and y intercept by setting x = 0.
so, for the line -2x+5y=20
1) Y intercept (x = 0) is
-2(0) +5y =20
=> 5y= 20
=> y=4
2) x intercept (y = 0) is
-2x+5(0) =20
=> -2x= 20
=> x = -10
so x= -10 ,y =4 are the intercepts and is plotted with a dot in the graph below
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