Answer:
The answer is option F
Explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To calculate the equation of the line first find the slope
Slope of the line using points
(0 , 0) and (4 , -2) is
![m = ( - 2 - 0)/(4 - 0) = ( - 2)/(4) = - (1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/ieo70lyggtyw3s2qptw32hit4edtony1xr.png)
Now use the formula
y - y1 = m(x - x1) to find the equation of the line using any of the points
Using point (0,0)
That's
![y - 0 = - ( 1)/(2) (x - 0)](https://img.qammunity.org/2021/formulas/mathematics/college/3q59dfy9lruq9ohbgo0anusx305cv33gfu.png)
The final answer is
![y = - (1)/(2) x](https://img.qammunity.org/2021/formulas/mathematics/college/ot4q02fkryq7vwg6flq49q67t7f9x5oye2.png)
Hope this helps you