Answer: B) [tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]
Step-by-step explanation:
1. You can calculate the slope by applying the following formula:
[tex]m=\frac{y_{2}.y_{1}}{x_{2}-x_{1}}[/tex]
2. The point A is (0,0) and the point C is (3,2).
Where:
[tex]y_{2}=2\\y_{1}=0\\x_{2}=3\\x_{1}=0[/tex]
3. The point C is (3,2) and the point E is (6,4).
Where:
[tex]y_{2}=4\\y_{1}=2\\x_{2}=6\\x_{1}=3[/tex]
4. Then, you have:
[tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
5. Therefore, the slope of AC is equal of the slope CE.
