Point (3,2) is not a solution to y=-3/4x+3. Substituting (3,2) into the equation results in an untrue statement, and the point doesn't lie on the line's graph.
No, the point (3,2) is not a solution to the equation y = -3/4x + 3.
Here's why:
1. Checking the equation: If the point (3,2) is a solution, then substituting x = 3 and y = 2 in the equation should give us a true statement. However, when we do this, we get:
2 = -3/4 * 3 + 3
2 = -9/4 + 3
2 = -3/4
This is clearly not true, so (3,2) is not a solution.
2. Graphically: In the provided graph, the line representing the equation y = -3/4x + 3 does not pass through the point (3,2). This further confirms that the point is not a solution.
Therefore, we can conclusively say that the point (3,2) does not satisfy the equation y = -3/4x + 3.