Answer:
y +2 = -2/7(x -2)
Step-by-step explanation:
You want the point-slope equation of the line through (9, -4) and (2, -2).
Slope
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (-2 -(-4))/(2 -9) = 2/-7 = -2/7
Point-slope equation
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Using the second point with the found slope, the equation is ...
y +2 = -2/7(x -2)
