How do you graph y= 1/2x + 2?

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May 17, 2018

See a solution process below:

Explanation:

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

First Point: For $x = 0$

$y = \left(\frac{1}{2} \cdot 0\right) + 2$

$y = 0 + 2$

$y = 2$ or $\left(0 , 2\right)$

Second Point: For $x = 2$

$y = \left(\frac{1}{2} \cdot 2\right) + 2$

$y = 1 + 2$

$y = 3$ or $\left(2 , 3\right)$

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

graph{(x^2+(y-2)^2-0.035)((x-2)^2+(y-3)^2-0.035)=0 [-10, 10, -5, 5]}

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

graph{(x^2+(y-2)^2-0.035)((x-2)^2+(y-3)^2-0.035)(y - (1/2x) - 2)=0 [-10, 10, -5, 5]}

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