Question

A line intersects the points

Answer 1

Answer:

$\boxed{\sf m=\boxed{8}}$

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

$\boxed{\sf \mathrm{m}=\cfrac{y_2-y_1}{x_2-x_1}}$

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

$\Box \:\:\sf Points:(6,-4)\:and (7,4)$

$\leadsto\sf \left(x_1,\:y_1\right)=\left(6,\:-4\right)$

$\leadsto\sf \left(x_2,\:y_2\right)=\left(7,\:4\right)$

______________

$\longmapsto\sf m=\cfrac{4-\left(-4\right)}{7-6}$

$\longmapsto\sf m=8$

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