write the equation of the linear function that passes through the points (-8, 1) and (-4, 3)

First, we need to find the slope of the line passing through the given points.

slope = (y2 - y1) / (x2 - x1)
slope = (3 - 1) / (-4 - (-8))
slope = 2 / 4
slope = 1/2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)

y - 1 = 1/2(x + 8)
y - 1 = 1/2x + 4
y = 1/2x + 5

Therefore, the equation of the linear function that passes through the points (-8, 1) and (-4, 3) is y = 1/2x + 5.