Answer:
y -3 = -2(x +2)
Explanation:
You want the point-slope equation of the graphed line through point (-2, 3).
Point-slope equation
The point-slope equation of the line with slope m through point (h, k) is ...
y -k = m(x -h)
Slope
The line on the graph goes down 2 units for each 1 unit to the right. Its slope is ...
slope = rise/run = -2/1 = -2
Equation
The equation for the line with slope -2 through point (-2, 3) is ...
y -3 = -2(x +2)