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gmany

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (6, 5) and (7, j) and the slope m = 5. Substitute:

[tex]\dfrac{j-5}{7-6}=5\\\\\dfrac{j-5}{1}=5\\\\j-5=5\qquad\text{add 5 to both sides}\\\\\boxed{j=10}[/tex]

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