How do you graph the equations on the coordinate plane provided y=3x+2?

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Answer 1 · 2017-09-04T22:07:44

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point:

For $x = 0$ $x = 0$

$y = (3 \cdot 0) + 2$ $y = (3 * 0) + 2$

$y = 0 + 2$ $y = 0 + 2$

$y = 2$ $y = 2$ or $(0, 2)$ $(0, 2)$

Second Point:

For $x = 2$ $x = 2$

$y = (3 \cdot 2) + 2$ $y = (3 * 2) + 2$

$y = 6 + 2$ $y = 6 + 2$

$y = 8$ $y = 8$ or $(2, 8)$ $(2, 8)$

We can next graph the two points on the coordinate plane:

graph{(x^2+(y-2)^2-0.075)((x-2)^2+(y-8)^2-0.075)=0 [-20, 20, -10, 10]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-3x-2)(x^2+(y-2)^2-0.075)((x-2)^2+(y-8)^2-0.075)=0 [-20, 20, -10, 10]}