How do you graph $y = x + 6$ $y=x+6$ by plotting points?

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Answer 1 · 2018-03-14T14:01:50

See a solution process below:

To graph a linear equation you only need to plot two points.

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

First Point: For $x = 0$ $x = 0$

$y = 0 + 6$ $y = 0 + 6$

$y = 6$ $y = 6$ or $(0, 6)$ $(0, 6)$

Second Point: For $x = 1$ $x = 1$

$y = 1 + 6$ $y = 1 + 6$

$y = 7$ $y = 7$ or $(1, 7)$ $(1, 7)$

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

graph{(x^2+(y-6)^2-0.025)((x-1)^2+(y-7)^2-0.025)=0 [-10, 10, -2, 8]}

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

graph{(y-x-6)(x^2+(y-6)^2-0.025)((x-1)^2+(y-7)^2-0.025)=0 [-10, 10, -2, 8]}

How do you graph y=x+6y=x+6 by plotting points?