Question

What is the slope of this line

Answer 1

Just by eyeballing the graph, you could see that the slope is 1: whenever x increases by 1, y will also increase by 1. Since the slope is defined as the ratio of the increments along the y and x axis, we have 1/1=1.

If you want to be more formal, you can pick any two points on the line, for example (0,1) and (3,4), and use the formula

`m = (\Delta y)/(\Delta x) = (y_2-y_1)/(x_2-x_1) = (4-1)/(3-0) = 1`

Answer 2

The slope is 1

Explanation:

The slope of the line is also its gradient. A gradient is basically rise/run

In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1