Question

GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.

Answer 1

Step-by-step explanation:

point-slope form means

y - y1 = m(x - x1)

(x1, y1) is a point on the function line (like the given (1, 4)).

m is the slope, weiss is the ratio of "y coordinate change / x circumstances change" when going from one point to another in the function line.

so, we need a second point. I suggest x = 0 (side length is 0), which makes also the perimeter 0 (4×0 = 0) : (0, 0)

then we see

x changes by +1 (from 0 to 1)

y changes by +4 (from 0 to 4)

the slope m is then +4/+1 = 4

and using the given point this makes the point-slope form

y - 4 = 4(x - 1)

Answer 2

Answer:

y-4=4(x-1)

Step-by-step explanation:

Write the equation in slop-intercept form and get the slope and point from the equation

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

Now we write the equation in point-slope form

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)