Question

How do you find the slope of a line that is parallel to the line `y= 1/2x-7`?

Answer 1

This equation is already in slope-intercept form:

`y = mx+c`

with slope `m=1/2` and intercept `c=-7`.

Any line parallel to this line will have the same slope 1/2.

Incidentally, any line perpendicular to it will have slope

`-1/m = -2`.

Answer 2

Your line has slope equal to `1/2` (which is the coefficient of `x` in `y=1/2x-7`).
The line parallel to your line must have the same slope, i.e., `1/2`
Remember that parallel lines have the same slope.