Please help :) is the relationship linear, if so model the data with and equation.

C. y + 4 = -1/2 (x - 1)

Step-by-step explanation:

The x values go up by 6 units each step, 1, 7, 13, 19.

Start with 1 and add 6 to get 7, then add 6 to get 13, then add 6 to get 19.

For each corresponding step in x, y becomes 3 less.

Start with -4, then subtract 3 to get -7, subtract 3 to get -10, subtract 3 to get -13.

For every change of 6 in x, you get a change of -3 in y. This means a linear relationship.

To find the equation, we can use any two of the given points and the point-slope equation of a line.

y - y1 = m(x - x1)

m = slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line, and m = slope.

Let's use the points (x1, y1) = (1, -4) and (x2, y2) = (7, -7)

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)

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

y + 4 = (-7 + 4)/(6) * (x - 1)

y + 4 = (-3/6)(x - 1)

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

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!