Question

Based on the graph which equation can be used to describe the relationship between x and y?

Answer 1

hello

to solve this problem, we can easily find the slope of the line

this will give us the an insight to the answer

`\text{slope(m)}=(y_2-y_1)/(x_2-x_1)`

now let's identify our points

`\begin{gathered} y_2=2 \\ y_1=-4.5 \\ x_2=-13.5 \\ x_1=6 \end{gathered}`
`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(2--4.5)/(-13.5-6) \\ m=(6.5)/(-19.5) \\ m=-(1)/(3) \end{gathered}`

the slope of the line is -1/3 and this corresponds to option B

the equation of the line is given as

`y=-(1)/(3)x-2.5`