Respuesta :
Answer: 2
Step-by-step explanation:
The equation for slope is change in y / change in x, which is (-4-(-12))/(4-0) in this case. That is equal to 2.
The gradient of the line segment between the points (4,-4) and (0,-12) is 2.
We have to determine, the gradient of the line segment between the points (4,-4) and (0,-12).
The gradient and slope of the line segment between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by the following formula;
The gradient of the line segment = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Then, the gradient of the line segment between the points (4,-4) and (0,-12) is,
[tex]= \dfrac{-12-(-4)}{0-4}\\\\= \dfrac{-12+4}{-4}\\\\= \dfrac{-8}{-4}\\\\= 2[/tex]
Hence, The required gradient of the line segment between the points (4,-4) and (0,-12) is 2.
To know more about Slope click the link given below.
https://brainly.com/question/19072709
