Identify an equation in point-slope form for the line perpendicular to y = –4x – 1 that passes through (–2, 7).

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept  (it's relevant later)

Point-slope form:

y - y₁ = m(x - x₁)            "m" is the slope

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -4/5

perpendicular line's slope is 5/4

Since the given line's slope is -4, the perpendicular line's slope is 1/4.

m = 1/4

(x₁ , y₁) = (-2, 7)

Now plug this into the equation:

y - y₁ = m(x - x₁)

y - 7 = 1/4(x - (-2))

add an image, and i will answer

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.