Final answer:
The equation of the line that passes through the points (-4, -3) and (4, -1) is y = (1/4)x - 2.
Step-by-step explanation:
To find the equation of the line that passes through the points (-4, -3) and (4, -1), we can use the slope-intercept form of a linear equation, which is y = mx + b. We first need to find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1).
Let's substitute the values (-4, -3) and (4, -1) into the formula:
m = (-1 - (-3)) / (4 - (-4))
m = 2 / 8
m = 1/4
Now that we have the slope, we can substitute it and one of the points into the slope-intercept form to find the y-intercept (b).
Using the point (-4, -3):
-3 = (1/4)(-4) + b
-3 = -1 + b
b = -2
Therefore, the equation of the line that passes through the points (-4, -3) and (4, -1) is y = (1/4)x - 2.