Answer:
5y = x +12
Divide through by 5 to obtain the slope_intercept form as
y=x/5 + 12/5
Explanation:
From the given graph, slope of the line is
y2-y1/x2-x1 = -3-(-4)/0-(-5) = -3+4/0+5 = 1/5
Slope, m1 of the given line is 1/5
Therefore, m2 of the unknown line is the same 1/5 because it's parallel to the given line
hence
The equation passing through (-2,2) and parallel to the known line is
y-y1 = m2(x-x1)
y-2 = 1/5(x-(-2))
y-2 = 1/5(x+2)
y = x/5 + 2/5 +2
Multiply through by 5
5y = x +2+10
5y = x +12
Divide through by 5 to obtain the slope_intercept form as
y=x/5 + 12/5