Final answer:
The slope of the line intersecting the points (-4, 5) and (-6, 3) is found using the slope formula and is equal to 1.
Step-by-step explanation:
To find the slope of a line that intersects two points, you can use the formula for slope, which is m = ∆y/∆x (delta y over delta x), or the change in y divided by the change in x. In this case, the two points given are (-4, 5) and (-6, 3). The slope can be calculated as follows:
Slope (m) = (Y2 - Y1) / (X2 - X1) = (3 - 5) / (-6 + 4) = (-2) / (-2) = 1
Therefore, the slope of the line in simplest form is 1. The slope indicates that for each unit increase along the x-axis, there is a corresponding unit rise along the y-axis. This concept of slope is crucial in the algebra of straight lines, as it helps determine the shape of the line in conjunction with the y-intercept.