Question

https://www.ixl.com/math/algebra-1/relate-the-graph-of-a-linear-equation-to-its-solutions
which ordered pairs are solutions to the equation? select all that apply.
(6, -1)
(2, -2)
(4, 5)
(-1, 2)
(-4, 6)
(5, -6)

Explanation:

Step1: Recall solution - point concept

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

Step2: Check each ordered pair

For \((6,-1)\): Locate \(x = 6\) and \(y=-1\) on the graph. The point lies on the line.
For \((2,-2)\): Locate \(x = 2\) and \(y = - 2\) on the graph. The point lies on the line.
For \((4,5)\): Locate \(x = 4\) and \(y = 5\) on the graph. The point does not lie on the line.
For \((-1,2)\): Locate \(x=-1\) and \(y = 2\) on the graph. The point lies on the line.
For \((-4,6)\): Locate \(x=-4\) and \(y = 6\) on the graph. The point lies on the line.
For \((5,-6)\): Locate \(x = 5\) and \(y=-6\) on the graph. The point does not lie on the line.

Answer:

\((6,-1),(2,-2),(-1,2),(-4,6)\)