Question

Question 5 Which function has the same y-intercept as the graph below?

Answer 1

From the picture, we can note that the y-intecept ocurrs at y= -3. Then, we must compare this number with the y-intercepts of the given options. Since the y-intercept ocurrs at x=0, we have:

First option.

By substituting x=0 in this option, we have

`y=(12-0)/(4)=3`

which is different from -3. Then, this option is incorrect.

Second option.

By substituting x=0 in this option, we have

`\begin{gathered} 27+3y=0 \\ \text{which gives} \\ y=-(27)/(3)=-9 \end{gathered}`

which is different from -3. Then, this option is incorrect.

Third option.

By substituting x=0 in this option, we have

`\begin{gathered} 6y+0=18 \\ \text{which gives } \\ y=(18)/(6)=3 \end{gathered}`

which is different from -3. Then, this option is incorrect.

Fourth option.

By substituting x=0 in this option, we have

`\begin{gathered} y+3=0 \\ \text{which gives } \\ y=-3 \end{gathered}`

which is equal to our first result. Then, this option is the correct one.

Therefore, the answer is the last option (4th option).