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Answer:
The gradient of the straight line that passes through (2, 6) and (6, 12) is .
Step-by-step explanation:
Mathematically speaking, lines are represented by following first-order polynomials of the form:
(1)
Where:
- Independent variable.
- Dependent variable.
- Slope.
- Intercept.
The gradient of the function is represented by the first derivative of the function:
Then, we conclude that the gradient of the staight line is the slope. According to Euclidean Geometry, a line can be form after knowing the locations of two distinct points on plane. By definition of secant line, we calculate the slope:
(2)
Where:
,
- Coordinates of point A.
,
- Coordinates of point B.
If we know that and
, then the gradient of the straight line is:
The gradient of the straight line that passes through (2, 6) and (6, 12) is .