Question

What is the slope of the line in the graph?

Options:
-4/3
-3/4
3/4
4/3

Answer 1

Option 2: -¾

Explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

`\boxed{gradient = (y1 - y2)/(x1 - x2) }`

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

`= (1 - ( - 2))/(0 - 4)`

`= (1 + 2)/( - 4)`

`= - (3)/(4)`

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.