The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3. If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

C = (3, -3), D = (-2, -3)

Step-by-step explanation:

The distance between two points on the coordinate plane is given by:

Points ABCD form a rectangle with an area of 30 unit². Points A and B are located at A(-2, 3) and B(3, 3). The distance between A and B is:

|AB| = width = 5 units

Area of ABCD = |AB| * |BC|

30 = 5 * |BC|

|BC| = length = 6 units

Let point C be located at (c, d). Since point C is below point B, hence the c coordinate of point B would be the same as that of C. Hence C = (3, d)

Since point C is vertically below point B, hence the y coordinate would be negative

d = -3

C = (3, -3)

Point D would have the same y coordinate as point C since they are on the same horizontal line. Also, point D would have the same x coordinate as point A since it is vertically below point A. Hence:

D = (-2, -3)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

step-by-step explanation:

abc