The vertical interval joining $A$A$\left(-2,2\right)$(−2,2) and $B$B$\left(-2,-3\right)$(−2,−3) has been graphed on the number plane. Find the length of the interval.

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The horizontal interval joining $A$A$\left(-4,5\right)$(−4,5) and $B$B$\left(-7,5\right)$(−7,5) has been graphed on the number plane. Find the length of the interval.

The points $P$P$\left(-3,-2\right)$(−3,−2), $Q$Q$\left(-3,-4\right)$(−3,−4) and $R$R$\left(1,-4\right)$(1,−4) are the vertices of a right-angled triangle, as shown on the number plane.