The gradient of the line is 2 and the angle is ∅ = 63.43°
The gradient of a line is the slope of a line. This is usually express as the change in y coordinate with respect to the change in x coordinate.
Hence,
Gradient = m = y₂ - y₁ / x₂ - x₁
using (3, 2)(7, 10)
Gradient = m = 10 - 2 / 7 - 3
Gradient = m = 8 / 4
Gradient = m = 2
Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 8 / 4
tan ∅ = 2
∅ = tan⁻¹ 2
∅ = 63.4349488229
∅ = 63.43°
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