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:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.