Gradient of a line
Learning Objectives
1 Find the gradient of a straight line.
2 Calculate the gradient of a straight line from the coordinates of two points on it.
The gradient of a line
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It tells you how much the y-coordinate (vertical) changes for a given change in the x-coordinate (horizontal) The formula for calculating the gradient (slope) of a line between two points \((x_{1}, y_{1})\) and \((x_{1}, y_{2})\) is Gradient \(=\frac{y_2-y_1}{x_2-x_1} \)
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Interactive Graph
Worksheet: Gradient (Slope) of a Line Segment
Instructions:
- Read each question carefully.
- Calculate the gradient (slope) of the line segment that connects the given points.
- Show your work, including the formula and calculations.
Question 1:
Find the gradient (slope) of the line segment between the following points:
a) Point A (2, 3) and Point B (5, 9)
b) Point X (-1, -2) and Point Y (3, 4)
c) Point P (0, 0) and Point Q (8, 15)
d) Point M (-3, 7) and Point N (-3, -1)
e) Point R (6, -8) and Point S (-2, 10)