Question

which ordered pairs are solutions to the equation? select all that apply. (4, -2) (7, -4) (3, 4) (1, 0) (-2, 2) (-5, 4)

Explanation:

Step1: Recall solution - point concept

A solution to a linear - equation is a point \((x,y)\) that lies on the graph of the linear equation.

Step2: Check each ordered pair

For \((4, - 2)\): Locate \(x = 4\) on the \(x\) - axis and \(y=-2\) on the \(y\) - axis. The point \((4,-2)\) lies on the line.
For \((7,-4)\): Locate \(x = 7\) on the \(x\) - axis and \(y = - 4\) on the \(y\) - axis. The point \((7,-4)\) lies on the line.
For \((3,4)\): Locate \(x = 3\) on the \(x\) - axis and \(y = 4\) on the \(y\) - axis. The point \((3,4)\) does not lie on the line.
For \((1,0)\): Locate \(x = 1\) on the \(x\) - axis and \(y = 0\) on the \(y\) - axis. The point \((1,0)\) lies on the line.
For \((-2,2)\): Locate \(x=-2\) on the \(x\) - axis and \(y = 2\) on the \(y\) - axis. The point \((-2,2)\) lies on the line.
For \((-5,4)\): Locate \(x=-5\) on the \(x\) - axis and \(y = 4\) on the \(y\) - axis. The point \((-5,4)\) lies on the line.

Answer:

\((4,-2),(7,-4),(1,0),(-2,2),(-5,4)\)