Answer:
y = -1/3x +1
Explanation:
You want the slope-intercept form equation of the line through the points (-3, 2) and (-9, 4).
Slope
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x)
m = (4 -2)/(-9 -(-3)) = 2/-6 = -1/3
Y-intercept
The y-intercept is given by the formula ...
b = y1 -m(x1)
b = 2 - (-1/3)(-3) = 1
Slope-intercept equation
The slope-intercept equation of the line is ...
y = mx +b
y = -1/3x +1