Question

What is the slope and intercept for `y=1/2x-1` and how would you graph it?

Answer 1

Slope = `1/2`, intercept = `-1`. For the graph, see below.

Explanation:

When a line's equation is in the form `y=mx+q`, then `m` is the slope, and `q` is the `y`-intercept.

So, in your case, `m=1/2` is the slope, and `q=-1` is the intercept.

The easiest way to graph a line is always to find two of its point and connecting them. For example, let's pick `x=0` and `x=2`. The correspondant `y` values are

`y(0) = 1/2*0 - 1 = -1`, and

`y(2) = 1/2*2-1 = 1-1 = 0`.

So, the line passes through `(0,-1)` and `(2,0)`, and with two points known, the line is uniquely identified.