\[ y=1 / 4 x+1 \]

Did you know that the equation you provided represents a linear function, which is essentially a straight line when graphed on a coordinate plane? The slope of \(\frac{1}{4}\) indicates that for every 4 units you move to the right along the x-axis, the line rises by 1 unit. This gives you a gentle slope, perfect for those sunny afternoon strolls in math land! To fully grasp a linear equation, always remember to identify the y-intercept, which in your case is 1. That means the line crosses the y-axis at the point (0, 1). Use this as your starting point, and sketching the line becomes a breeze! Just apply the slope from there, and you'll have a beautiful graph in no time.