Glencoe Algebra 2, Chapter 2, 2.3, Section 2.3, Problem 59

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 4x-3y+8=0


1) Y intercept (x = 0) is

4(0) -3y+8=0

=> -3y = -8

=> 3y =8

=>
y=8/3


2) x intercept (y = 0) is

4x-3(0) +8 =0
4x = -8
x= -2

so x= -2 ,y =8/3 are the intercepts and is plotted with a dot in the graph below