# How do you graph f(x)=3x - 2 by plotting points?

Aug 24, 2017

See a solution process below:

#### Explanation:

Because this is a linear function we need to plot just two points.

For $x = 0$: $f \left(0\right) = \left(3 \cdot 0\right) - 2 = 0 - 2 = - 2$ or $\left(0 , - 2\right)$

For $x = 2$: $f \left(2\right) = \left(3 \cdot 2\right) - 2 = 6 - 2 = 4$ or $\left(2 , 4\right)$

Next, we can plot these two points:

graph{(x^2+(y+2)^2-0.025)((x-2)^2+(y-4)^2-0.025)=0}

We can now draw a line through the two points to graph the function:

graph{(y-3x+2)(x^2+(y+2)^2-0.025)((x-2)^2+(y-4)^2-0.025)=0}