Final answer:
The slope of the line through the points (0, -7) and (7, 0) is calculated as (0 - (-7)) / (7 - 0), which simplifies to 1, making option 4 the correct answer.
Step-by-step explanation:
To find the slope of the line on a coordinate plane that goes through the points (0, -7) and (7, 0), we use the following formula:
Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
Plugging in the coordinates:
Slope (m) = (0 - (-7)) / (7 - 0) = 7 / 7 = 1
Therefore, the slope of the line is 1, which corresponds to option 4.