Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
For the points (1, -9) and (4, -7), we can substitute these into the formula to find the slope:
m = (-7 - (-9)) / (4 - 1) = (2) / (3) = 2/3
Therefore, the slope of the line that passes through the points (1, -9) and (4, -7) is [tex]\frac{2}{3}[/tex]
