Help Me Please I would appreciate it

9514 1404 393

  y +2 = (1/4)(x +1)

Step-by-step 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)