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

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Student Comments

kspcr111 | Student

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 `

`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