Question

I need help with my math

Answer 1

The graph in the option that can represent the equation is;

Step-by-step explanation:

Given the equation;

`y=-3x-1`

To graph, let us make a table of the function;

`\begin{gathered} at\text{ x=-1;} \\ y=-3(-1)-1 \\ y=2 \\ (-1,2) \end{gathered}`
`\begin{gathered} at\text{ x=0;} \\ y=-3(0)-1 \\ y=-1 \\ (0,-1) \end{gathered}`
`\begin{gathered} at\text{ x=1;} \\ y=-3(1)-1 \\ y=-4 \\ (1,-4) \end{gathered}`
`\begin{gathered} x\text{ }\parallel\text{y} \\ -1\parallel\text{ 2} \\ 0\text{ }\parallel\text{-1} \\ 1\parallel\text{ -4} \end{gathered}`

Plotting the points we have;

From the plotted graph, we can observe that the graph has a y-intercept at y = -1.

The graph in the option that can represent the equation is;