Question

What is the gradient of the graph shown?

Answer 1

1

Explanation:

Start at any point on the line, for example (0, 1).

Each unit up correspond to a unit right. The next easy to read point going up to the right is (1, 2).

difference in y: 2 - 1 = 1

difference in x: 1 - 0 = 1

gradient = (difference in y)/(difference in x) = 1/1 = 1

Answer 2

`\huge\boxed{\sf Slope = 1 }`

Explanation:

Take any two co-ordinates from the line.

I will take (0,1) and (-1,0)

So,

`(x_1,y_1)=(0,1)\\\\(x_2,y_2)=(-1,0)`

Finding gradient/slope:

`\displaystyle Slope = (y_2-y_1)/(x_2-x_1) \\\\Slope = (0-1)/(-1-0) \\\\Slope = (-1)/(-1) \\\\Slope = 1 \\\\\rule[225]{225}{2}`