Final answer:
The equation of the line that passes through the points (-3, 1) and (-2, -5) is y = -6x + 17.
Step-by-step explanation:
To find the equation of the line that passes through the points (-3, 1) and (-2, -5), we need to find the slope and the y-intercept. The formula to find the slope, m, is (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (-5 - 1) / (-2 - (-3)) = -6.
Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points. Choosing the first point (-3, 1), we have y - 1 = -6(x - (-3)). Simplifying this equation, we get y = -6x + 17.
Therefore, the correct equation of the line is y = -6x + 17 (Option 1).