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Answer:
y +2 = (1/4)(x +1)
Explanation:
The given line is in slope-intercept form:
y = mx + b
where the slope (m) is -4 and the y-intercept (b) is +13.
For the perpendicular line, we need a slope that is the opposite reciprocal, or ...
-1/m = -1/(-4) = 1/4
A suitable form for the desired equation is the point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m=1/4 and (h, k) = (-1, -2), the equation of the line is ...
y +2 = (1/4)(x +1)