Question

What is the slope of the line in the graph? Options: -4/3 -3/4 3/4 4/3

Answer 1

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

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

Substitute the coordinates into the gradient formula below:

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

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

Slope of the line

$= \frac{1 - ( - 2)}{0 - 4}$

$= \frac{1 + 2}{ - 4}$

$= - \frac{3}{4}$

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