Question

f(x)=3x-2 what is the x intercept

Answer 1

So the equation basically is 3x-2=y. The x intercept is when y is 0. We need to move the equation so it equals x.

3x-2=y
Let's add 2 to both sides.
3x=y+2
Now divide.
(y+2)/3=x

Let's make y=0.
(0+2)/3
2/3=x

So, the x intercept is (0,2/3). We could even look on a graph (below).

Answer 2

The x intercept of the equation f(x) = 3x - 2 is (2 / 3, 0)

f(x) = 3x - 2

The x intercept is the value of x when y = 0

This means f(x) = 0

Therefore,

f(x) = 3x - 2

0 = 3x - 2

add 2 to both sides

2 = 3x - 2 + 2

2 = 3x

divide both sides by 3

2 / 3 = 3x / 3

x = 2 / 3

(2/3, 0)

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