Answer:
[tex]\boxed{\sf m=\boxed{8}}[/tex]
Step-by-step explanation:
To determine the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf \mathrm{m}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\Box \:\:\sf Points:(6,-4)\:and (7,4)[/tex]
[tex]\leadsto\sf \left(x_1,\:y_1\right)=\left(6,\:-4\right)[/tex]
[tex]\leadsto\sf \left(x_2,\:y_2\right)=\left(7,\:4\right)[/tex]
______________
[tex]\longmapsto\sf m=\cfrac{4-\left(-4\right)}{7-6}[/tex]
[tex]\longmapsto\sf m=8[/tex]
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