Final answer:
The equation of the line is y + 5 = √3/2(x + 6)
Step-by-step explanation:
To find the equation of a line that passes through a given point and has a given slope, we can use the point-slope form of a linear equation. The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.
In this case, the given point is (-6, -5) and the given slope is √3/2. Substituting these values into the point-slope form, we get:
y - (-5) = √3/2(x - (-6))
Simplifying, we have:
y + 5 = √3/2(x + 6)
Therefore, the equation of the line that passes through the point (-6, -5) and has a slope of √3/2 is y + 5 = √3/2(x + 6).