Final answer:
To solve the equation x^2-4x=2x+7 graphically, intersect the graphs of y=x^2-6x-7 and y=2x+7, looking for their intersection points, which are the solutions to the equation.
Step-by-step explanation:
To solve the equation x^2-4x=2x+7 graphically, we find the intersection point(s) of the corresponding graphs of two equations: y = x^2 - 4x and y = 2x + 7.
First, let's rewrite the equation by moving all terms to one side: x^2 - 6x - 7 = 0.
Now we graph the two functions:
- The parabola y = x^2 - 6x - 7
- The straight line y = 2x + 7
The intersection points of these two graphs are the solutions to the equation.
Graphically, you plot both functions on the same set of axes and identify where the graphs cross each other.
These intersections represent the x-values that satisfy the original equation.