How do you graph #f(x)=1/2x+1#?

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Answer 1 · 2018-05-19T13:31:41

See a solution process below:

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

First Point: For #x = 0#

#f(0) = (1/2 * 0) + 1#

#f(0) = 0 + 1#

#f(0) = 1# or #(0, 1)#

Second Point: For #x = 2#

#f(2) = (1/2 * 2) + 1#

#f(2) = 1 + 1#

#f(2) = 2# or #(2, 2)#

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

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

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

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