Final answer:
The slope of the line through the points (19, −16) and (−7, −15) is calculated using the slope formula and is approximately −0.0385.
Step-by-step explanation:
The question is asking for the slope of the line connecting the points (19, −16) and (−7, −15). To find the slope, use the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are coordinates of two distinct points on the line.
Using the given points:
x1 = 19, y1 = −16
x2 = −7, y2 = −15
Now, substitute the values into the formula:
m = (−15 - (−16)) / (−7 - 19)
m = (1) / (−7 - 19)
m = 1 / (−26)
m = −0.0385 (approx)
The slope of the line through the points (19, −16) and (−7, −15) is approximately −0.0385.