Question

A flashlight shines straight up into the sky, 9 ft to the right of a tent located at the origin. For which values of A, B, and C will Ax+By=C represent the beam of light?

A)1,9,0
B)1,1,9
C)2,1,0
D)1,0,9 respectively

Answer 1

The correct option for the equation Ax + By = C that represents the beam of light is D) 1,0,9, which results in the equation x = 9, indicating a vertical line 9 feet to the right of the origin.

Step-by-step explanation:

The equation Ax + By = C represents a line in a two-dimensional coordinate system where A, B, and C are constants. The flashlight shines straight up vertically, so its beam can be represented by a vertical line on a graph. In a coordinate system, a vertical line has an undefined slope and is described by an equation with x equal to a constant value and no y-component, which means that B would be 0. Therefore, the beam of light 9 feet to the right of the tent at the origin (0,0) can be represented by the equation x = 9.

Looking at the options provided, the correct option that represents a vertical line 9 feet to the right of the origin would be letter D, where A=1, B=0, and C=9. The respective equation would be x = 9, which matches the desired criteria for the beam of light.