Ldentify an equation in point-slope form for the line perpendicular to y=-4x- 1 that passes through (-2, 7).
OA. y-7= -4(x+2)
O B. y+7= -1/4(x-2)
Oc. y+2= 1/4 (x-7)
OD. y-7= 1/4(x+2)

9514 1404 393

  D

Step-by-step explanation:

The given line's equation is in slope-intercept form:

  y = mx + b

where m = -4 is the slope, and b = -1 is the y-intercept.

The slope of the perpendicular line will be ...

  -1/m = -1/(-4) = 1/4

You want the point-slope equation for the line, which is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

Your equation will have m=1/4, (h, k) = (-2, 7), so it will be ...

  y -7 = 1/4(x +2)

the answer is 5636.7