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

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

Step-by-step explanation:

perpendicular lines have a slope that are negative reciprocals

so y = -4x-1  has a slope of -4

the negative reciprocal is - (-1/4)  = 1/4

point slope form

y-y1 = m(x-x1)

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

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

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!