Glencoe Algebra 2, Chapter 2, 2.3, Section 2.3, Problem 58

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