Answer:
Explanation:
To find the equation of a line passing through two points, we can use the slope-point form:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, m is the slope of the line and can be calculated as
m = (y2 - y1) / (x2 - x1)
where (x2, y2) is the second point on the line.
Given the points (-6, -5) and (4, -3), we can substitute the values into the slope formula to find m:
m = (-3 - (-5)) / (4 - (-6)) = 2 / 10 = 1/5
Next, we can substitute the point (-6, -5) and the slope 1/5 into the slope-point form to find the equation of the line:
y - (-5) = 1/5 (x - (-6))
y + 5 = 1/5 x + 6
5y + 25 = x + 30
5y = x + 5
y = (x + 5) / 5
Thus, the equation of the line passing through the points (-6, -5) and (4, -3) is y = (x + 5) / 5.