How do you graph the equation $y = \frac{1}{2} x + 6$ $y=1/2x+6$ ?

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Answer 1 · 2017-10-29T17:25:37

See a solution process below:

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

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

$y = (\frac{1}{2} \cdot 0) + 6$ $y = (1/2 * 0) + 6$

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

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

Second Point: For $x = 2$ $x = 2$

$y = (\frac{1}{2} \cdot 2) + 6$ $y = (1/2 * 2) + 6$

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

$y = 7$ $y = 7$ or $(2, 7)$ $(2, 7)$
We can next plot the two points on the coordinate plane:

graph{(x^2+(y-6)^2-0.075)((x-2)^2+(y-7)^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 - (1/2)x-6)(x^2+(y-6)^2-0.075)((x-2)^2+(y-7)^2-0.075)=0 [-20, 20, -10, 10]}

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