Final answer:
The equation of the line is y = -2/3x + 1.
Step-by-step explanation:
The equation of a line that has a slope of -2/3 and passes through point (-3, -1) can be found using 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 slope.
Plugging in the values (-3, -1) and m = -2/3, we get:
y - (-1) = -2/3(x - (-3))
Simplifying the equation gives:
y + 1 = -2/3(x + 3)
Further simplifying and converting to slope-intercept form gives:
y = -2/3x + 1