`4x - 3y + 8 = 0` Find the x intercept and the y intercept of the equation. Then graph the equation.

Textbook Question

Chapter 2, 2.3 - Problem 59 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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kspcr111 | In Training Educator

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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
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