How to use the plotted graph y = 2x-6 to solve the equation 2x-6 = 0

univerkov | August 10, 2021 | education

The graph of the function y = 2x – 6 is a straight line intersecting the Ox and Oy axes at some points. Solving the equation 2x – 6 = 0 means finding such a value of the argument x, at which the function takes the value y = 0. On the graph, this is the point of intersection of the straight line with the Ox axis. The x coordinate of this point will be the solution to the equation.

For a given equation, the solution will be the value x = 3, since the graph of the function y = 2x – 6 intersects the Ox axis at the point with coordinates (3; 0).

Answer: x = 3.

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