9514 1404 393
Answer:
y = -1/4x +5
Explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -6)/(8 -(-4)) = -3/12 = -1/4
The graph crosses the y-axis at y=5, so the slope-intercept equation can be written as ...
y = mx +b . . . . . line with slope m and y-intercept b
y = -1/4x +5 . . . . line with slope -1/4 and y-intercept 5