Answer:
y= 4x + 0
Explanation:
The perimeter y of a square with side length x can be described by the equation y = 4x + 0.
The perimeter of a square is equal to 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. We can use this information to write an equation in point-slope form to describe the relationship between the side length of a square and its perimeter.
Point-slope form is a way of writing the equation of a line when we know the slope of the line and the coordinates of a point on the line. In this case, the slope of the line is 4, since the perimeter of a square is four times the length of one side. The coordinates of a point on the line are (1, 4), since the side length of a square is 1 centimeter and the perimeter of the square is 4 centimeters.
We can use this information to write the equation of the line in point-slope form. The equation of a line in point-slope form is given by the following equation:
y - y1 = m(x - x1)
where y is the y-coordinate of a point on the line, y1 is the y-coordinate of a known point on the line, m is the slope of the line, and x is the x-coordinate of a point on the line.
In this case, we can substitute the values we know into the equation above to get:
y - 4 = 4(x - 1)
This simplifies to:
y = 4x + 0
Therefore, the equation in point-slope form that describes the relationship between the side length x of a square and its perimeter y is y = 4x + 0.
This equation tells us that for any square, the perimeter is four times the side length plus zero. For example, if the side length of a square is 5 centimeters, then the perimeter is 4 x 5 + 0 = 20 centimeters. If the side length of a square is 10 centimeters, then the perimeter is 4 x 10 + 0 = 40 centimeters.
In summary, the perimeter y of a square with side length x can be described by the equation y = 4x + 0.