Question

Connor wants to solve the equation 4x=26. How could he use graphs to solve this equation?

Answer 1

Answer:

• He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.

Explanation:

To solve the equation 4x = 26 using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.

The functions to graph are f(x) = 4x, and g(x) = 26.

The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.

Some of the points to graph that line are:

x            f(x) = 4x            

0        4(0) = 0 →    (0,0)

2        4(2) = 8 →    (2,8)

4        4(4) = 16 →   (4,16)

6        4(6) = 24 →  (4, 24)

With those points you can do an excellent graph of f(x) = 4x

The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.

You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.