Answer:
y = -(1/2)x + 5
Explanation:
The general form for a linear equation in slope-intercept form is
y = mx + b where m is the slope and b is the y-intercept
Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Use (8, 1), which is (x, y), and we know that
m = -1/2
The equation becomes...
1 = -(1/2)(8) + b (now solve for b)
1 = -4 + b
5 = b
Plug that value into the general form...
y = -(1/2)x + 5