Answer:
Slope = -3
Explanation:
Right off the bat, some nice points I see are (0, 3) and (1, 0) because you can tell their exact coordinates. It doesn't matter which point you call what, but I would call (0, 3) point₁ and (1, 0) point₂. To calculate the slope, subtract the y-coordinate of point₁ minus the y-coordinate of point₂. Let's call this difference Δy (which means "change in y"). Next, we'll do the same thing, but for the x-coordinates. Now we'll call this difference Δx (which means "change in x"). Now, you want to divide Δy / Δx. And there's your slope!
Here's how I did it:
(0, 3) and (1, 0)
y-coordinate of point₁ - y-coordinate of point₂ = (3) - (0) = 3. We called this Δy.
Next:
x-coordinate of point₁ - x-coordinate of point₂ = (0) - (1) = -1. We called this Δx.
So now we have 3 = Δy and -1 = Δx.
If we divided Δy / Δx, we get 3 / -1, or -3.
NOTE: Remember to stay consistent with the order you subtract. If you're going to find Δy from point₁ - point₂, then you need to find Δx from point₁ - point₂.
You can't subtract point₁ - point₂ = Δy and then decide to change the order to point₂ - point₁ to find Δx.
Now as to what to draw, first draw a vertical line from either point. Draw the vertical line until you reach the y-coordinate of the other point. Now, draw a horizontal line that will now connect the vertical line to the second point.