Final answer:
The slope of the line passing through the points (-7, -3) and (4, 1) is calculated using the slope formula (Y2 - Y1) / (X2 - X1) and results in 4/11, which is not one of the provided options.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the following formula:
Slope (m) = (Y2 - Y1) / (X2 - X1)
Where (X1, Y1) and (X2, Y2) are the coordinates of the two points.
For the points (-7, -3) and (4, 1), the formula gives us:
Slope (m) = (1 - (-3)) / (4 - (-7))
= (1 + 3) / (4 + 7)
= 4 / 11
Therefore, none of the options A) 1/3, B) 2/3, C) 2/5, D) 3/5 is correct. The slope of the line through these points is 4/11.