Question

What is the y-intercept of the graph of y = 2.5x?a. 2.5b. 0c. 1d. -1

Answer 1

- We are asked to find the y-intercept of the graph of:

`y=2.5x`

- In order to find the y-intercept, we need to know the definition of the y-intercept.

- The y-intercept is the y-value where the graph crosses the y-axis.

- An implication of this definition is that whenever the graph crosses the y-axis, the x-value at that point is zero. This means that we simply need to substitute x = 0 into the equation given to us to find the y-intercept of the graph.

- The y-intercept can thus is gotten as follows:

`\begin{gathered} y=2.5x \\ \text{put }x=0 \\ y=2.5(0) \\ \\ \therefore y=0 \end{gathered}`

Final Answer

The y-intercept of the graph is y = 0 (OPTION B)