Final answer:
The equation of the line is y = (3/2)x + 8.
Step-by-step explanation:
The equation of the line that passes through the points (-6, -1) and (-4, 2) can be found using the slope-intercept form. First, calculate the slope using the formula: m = (y2 - y1) / (x2 - x1). Substituting the given points into the formula, we get m = (2 - (-1)) / (-4 - (-6)) = 3/2.
Now, use the slope-intercept form y = mx + b and substitute one of the points and the slope to solve for b. Using the point (-6, -1), we have -1 = (3/2)(-6) + b. Simplifying, we find b = 8. The equation of the line is y = (3/2)x + 8.