Question

What is the slope of a line parallel to the line whose equation is x+2y=10. Fully simplify your answer.

Answer 1

The first step to solve this problem is to find the equation of the given line in slope intercept form, you do it by solving the general form equation for y.

`\begin{gathered} x+2y=10 \\ 2y=10-x \\ y=(-x+10)/(2) \\ y=-(1)/(2)x+5 \end{gathered}`

Now, we need to remember that for 2 lines to be parallel, they must have the same slope. It means that the slope of a line parallel to the given line must have the same slope. This is -1/2.