Final answer:
The equation for the line passing through (-4, -3) and (1, 2) is y = x + 1.
Step-by-step explanation:
In order to write an equation for the line in point-slope form, we need to use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Given the points (-4, -3) and (1, 2), we can calculate the slope:
m = (y2 - y1) / (x2 - x1) = (2 - (-3)) / (1 - (-4)) = 5 / 5 = 1
Now, we can choose one of the points and substitute the values into the formula:
y - (-3) = 1(x - (-4))
y + 3 = x + 4
The equation for the line is y = x + 1.