Final answer:
The slope of the line passing through the points (6, 3) and (7, -4) is calculated using the slope formula, yielding a slope of -7, which indicates a negative slope.
Step-by-step explanation:
Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose. The question asks for the slope of the line passing through two points with coordinates (6, 3) and (7, -4). To find the slope, we use the formula:
slope (m) = (y2 - y1) / (x2 - x1).
Substituting the given points into the formula, we get:
m = (-4 - 3) / (7 - 6)
m = -7 / 1
m = -7
Therefore, the slope of the line is -7, which means the line has a negative slope.