Gradient Between Two Points | Ameba

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Gradient Between Two Points

Basic Algebra & Simplification
Indices (Powers)
Expanding & Simplify
Factorisation
Solving Linear Equations
Simultaneous Equations
Rearranging Formulae
Algebraic Fractions
Quadratic Equations
Inequalities
Gradient Between Two Points
y = mx + c
Intercepts on Axes
Parallel & Perpendicular Lines
Find Equation of a Line
Types of Sequences
Arithmetic Sequences
Geometric Sequences
Quadratic & Other Graphs
Functions & Graph Transformations

Gradient = rise (change in y) ÷ run (change in x)

\(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Example

Find the gradient of the line joining (1, 2) and (5, 10):

→ \(m = \dfrac{10 - 2}{5 - 1} = \dfrac{8}{4} = 2\)

Practice

Find the gradient between (3, 1) and (6, 7).

A. 2
B. 1.5
C. 3

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