Answer:
The slope of the line passing through the points (-6,-5) and (-1,1) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-6,-5) and (x2, y2) = (-1,1)
slope = (1 - (-5)) / (-1 - (-6)) = 6/5
Now, using point-slope form of the equation of a line, we get:
y - y1 = m(x - x1)
where m = 6/5 and (x1, y1) = (-6,-5)
y + 5 = 6/5(x + 6)
y + 5 = 6/5x + 6.72
y = 6/5x + 6.72 - 5
y = 6/5x + 1.72
Therefore, the equation of the line passing through the points (-6,-5) and (-1,1) is:
y = 6/5x + 1.72
Option (c) y=6/5x is not the correct equation of the line. The correct answer is (d) y=6/5x + 11/6.