Determine graphically whether each given point is a solution to the system of linear equations.
y = 4x-9
y = -2x+3
(2, -1)
Is there any good online graph which could help me plot the points and stuff?
Graph the 2 Eqs, and the point of intersection should be (2, -1).
Use the given points for graphing.
Eq1: Y = 4X - 9. (1,-5), (3,3),(4,7).
Eq2: Y = -2X + 3. (0,3),(3,-3), (4,-5).
Straight lines are easy to graph; so
no special equipment is required.
To determine graphically whether a given point is a solution to a system of linear equations, you can plot the equations on a graph and see if the point lies on both lines.
To plot the equations and points, you can use several online graphing tools. Some popular and user-friendly options include:
1. Desmos (www.desmos.com)
2. GeoGebra (www.geogebra.org)
3. WolframAlpha (www.wolframalpha.com)
4. Graphing Calculator by Mathway (www.mathway.com)
Choose any of these tools and follow the steps below:
1. Go to one of the suggested online graphing tools.
2. On the graphing interface, locate the equation input section.
3. Enter the first equation, y = 4x - 9, and press the Enter or Plot button.
4. Enter the second equation, y = -2x + 3, and press the Enter or Plot button.
5. The graphing tool will plot both equations on the same graph.
6. Locate the point (2, -1) and check if it lies on both lines.
If the point (2, -1) lies on both lines, it is a solution to the system of linear equations. If it doesn't intersect both lines, then it is not a solution.
By utilizing one of these online graphing tools, you can easily visualize the equations, plot points, and determine if they are solutions to the system of linear equations.