Final answer:
To solve the equation 3x - 1.0675 = 3x - 4.145 using the graph, we need to examine the graph of y = 3x - 4.145 and find the x-coordinate where the line intersects the x-axis.
Step-by-step explanation:
To solve the equation 3x - 1.0675 = 3x - 4.145 using the graph, we need to examine the graph of y = 3x - 4.145. From the given information, we know that the equation represents a straight line with a slope of 3 and a y-intercept of -4.145. Since the slope is constant along a straight line, we can say that any point on this line will have the same slope of 3.
Therefore, the solution to the equation 3x - 1.0675 = 3x - 4.145 is any value of x that satisfies the equation y = 3x - 4.145. From the graph, we can find the y-coordinate of the point where the line intersects the x-axis, which is the y-intercept of the equation. So, the solution to the equation is x = -4.145.
In summary, by examining the graph of y = 3x - 4.145, we can determine that the solution to the equation 3x - 1.0675 = 3x - 4.145 is x = -4.145.