This week, we’ve learnt what a slope is and how to write it out numerically.

The first thing you want to consider with a slope is if it’s positive or negative. The way to figure this out is by figuring out if the line is going uphill or downhill. You always read this left to right.

Our line is going uphill, which means it’s a positive slope. If our line was going downhill, it would’ve been a negative slope.

Next, we find the rise over run of the line. Rise means how far the line goes upwards, while run means how far the line goes on to the right. In between the point (0,0) and (1,2) we can see that the line goes up by 2 and only goes out by 1. Therefore, our rise over run is 2/1.

Since we know our line is a positive, we don’t need to change it to a negative. So, our final answer is the slope=2/1, or slope=2.

Exception:

If a line is vertical, the final value will be ‘undefined’. This is because the run for a vertical line will be 0, and you cannot divide a number by 0. Horizontal lines can still be calculated, however, they will always result in the answer being slope=0.