Step 1 :The x-intercept of a graph is the point where the graph crosses the x-axis. At this point, the y-coordinate is 0.
Step 2 :So, to find the x-intercept, we can set y = 0 in the equation and solve for x.
Step 3 :Substitute y = 0 into the equation 7x + 6y = 42, we get 7x = 42.
Step 4 :Solving for x, we get x = 6.
Step 5 :Final Answer: The x-intercept of the graph of \(7x+6y=42\) is \(\boxed{(6,0)}\).