Question

I need to know if it’s A, B, C or D

Answer 1

For two lines to be parallel, they have must the same slope. The slope of the given line is -1/4, hence the slope of the other line must be -1/4 as well.

To determine the equation of the line having the slope of -1/4 and passing through the point (2, -1), we can use the formula below:

`y-y_1=m(x-x_1)`

Let's plug in the given information above to the formula.

`y-(-1)=-(1)/(4)(x-2)`

Then, solve for y.

`\begin{gathered} y+1=-(1)/(4)x+(1)/(2) \\ y=-(1)/(4)x+(1)/(2)-1 \\ y=-(1)/(4)x-(1)/(2) \end{gathered}`

Therefore, the equation of the line must be y = -1/4x - 1/2 (Option C).