Question

Which if the following reoresents the equation of the line shown in the graoh below

Answer 1

`y\text{ = }(-1)/(3)x\text{ + 2 (option 3)}`Step-by-step explanation:

Equation of line:

y = mx + c

we need to find the slope of the line using any two points:

using points (-3, 3) and (3, 1)

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-3,y_1=3,x_2=3,y_2\text{ = 1} \\ \text{slope = }(1-3)/(3-(-3))=(-2)/(3+3) \\ \text{slope = }(-2)/(6)=\text{ -1/3} \end{gathered}`

c = y -intercept

This is the point the line crosses the y axis. The line cross y axis at y = 2

c = 2

The equation of line becomes:

`y\text{ = }(-1)/(3)x\text{ + 2 (option 3)}`