Which of the following represents the graph of the equation y = 1/2x?

(B)

Step-by-step explanation:

Here's what we know about the equation:

- it's a positive equation

- the y-intercept is (0,0)

- the slope is 1/2

Because the equation is positive, this means the graph will increase up from left to right, so you can cross out answer choice A & D.

To find out if B or C has the right slope, you can either plug in points or use the rise/run method.

I'm going to use both methods to figure out which answer choice is correct:

Plug in points method:

Let's plug in the value 2 in to the equation y = 1/2x.

1/2 * 2 = 1

So at (1,2) the function should include that point.

Only B has (1,2), so that's your answer.

Rise/run method:

Rise/run is a method used to figure out the slope of a function or draw a function on a graph.

Rise corresponds to the numerator. In this case, 1.

Run corresponds to the denominator. In this case, 2.

We are going to start at (0,0) and go up 1 (rising 1 unit) and go 2 to the right (running 2 units). After this, we should arrive at a point on the graph.

Only answer choice B does this.

**Reminder: be careful, the each blue line on the graph ISN'T a whole number interval; it uses 1/2 intervals.

Hope that helps (●'◡'●)

answer: the first graph

step-by-step explanation:

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step-by-step explanation: