For this case, we must indicate which of the points comply with the following equation:
![y = 5x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/47933vgugbiwfby82eaex850r4himnogwy.png)
Point A:
![(5, -1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2zxxk28aecoszqgngamke54s121oaelbfp.png)
![-1 = 5 (5)\\-1 = 25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oph1pqfsd2sd80gmeawq3y65ksj3npgah9.png)
Equality is not met.
Point B:
![(1,5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ake1tcjk19y3brnsc1emuk8w6vmb3cegwk.png)
![5 = 5 (1)\\5 = 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gc5912paf92yxx45zbyl95ye5k3c3lmuli.png)
Is fulfilled.
Point C:
![(0,0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7l7qagah3kbtiiw9s09sitbmuh772ya305.png)
![0 = 5 (0)\\0 = 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ye9i08f2uhpzat43kb84612t0zil7r1f9y.png)
Is fulfilled.
Point D:
![(-3,2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3hvfv2bc0bjmgm39e03qvu8gsbniy2dhjt.png)
![2 = 5 (-3)\\2 = -15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hb5rmmt3xb22r0xxvpqqxjuxnluxoki2av.png)
It is not fulfilled
Thus, the points that belong to the line are:
![(1,5)\ and\ (0,0)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uu2f719103bpa8jr035oz4ablmkte50v1a.png)
ANswer:
Option B and C