Answer:
(B)
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 (●'◡'●)