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

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Answer 1 · 2017-08-24T17:55:27

See a solution process below:

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

For #x = 0#: #f(0) = (3 * 0) - 2 = 0 - 2 = -2# or #(0, -2)#

For #x = 2#: #f(2) = (3 * 2) - 2 = 6 - 2 = 4# or #(2, 4)#

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}