Answer:
B
Explanation:
We are given:
![y=4x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m0431g82r8zd96x6s6pwb8b94pznyr9f8q.png)
![2x^2-y=0](https://img.qammunity.org/2020/formulas/mathematics/high-school/t66wcc4yhcvfqgo941b7khwynbuw09jgv2.png)
We are going to put 4x in place of the second y since the first y equaled it:
![2x^2-4x=0](https://img.qammunity.org/2020/formulas/mathematics/high-school/8dk6d807xeak65g51sig7rig4k3nuu20rx.png)
So we can factored this equation:
![2x(x-2)=0](https://img.qammunity.org/2020/formulas/mathematics/high-school/6pth839nrf9wb6h0nqmtkpdfb0j98egczf.png)
This implies 2x=0 or x-2=0.
2x=0
Divide both sides by 2:
x=0
x-2=0
Add 2 on both sides:
x=2
If x=0 and y=4x, then y=4(0)=0 so we have (0,0) is an intersection.
If x=2 and y=4x, then y=4(2)=8 so we have (2,8) is an intersection.