Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.
To find the slope, we can use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, let's plug in the values we have:
m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2
Now we can use either point to find the equation. Let's use (-10, 3):
y - 3 = (-11/2)(x - (-10))
y - 3 = (-11/2)x - 55/2
y = (-11/2)x - 49/2
So the equation of the line through (-10, 3) and (-8, -8) is:
y = (-11/2)x - 49/2.