Final answer:
The equation of the line that passes through the points (-8,5) and (2,0) is y = (-1/2)x + 1.
Step-by-step explanation:
To find the equation of the line that passes through the points (-8,5) and (2,0), you can use the slope-intercept form of a linear equation, which is y = mx + b. First, find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). In this case, the slope is (0 - 5) / (2 - (-8)) = -5 / 10 = -1/2. Next, substitute one of the given points and the slope into the equation to find the y-intercept (b). Using the point (-8,5), we have: 5 = (-1/2)(-8) + b. Simplifying, we find b = 1. Finally, substitute the slope and y-intercept into the equation to get the final equation of the line: y = (-1/2)x + 1.