raph the line with the equation \( y=\frac{1}{4} x+7 \)

To graph the line represented by the equation \( y=\frac{1}{4} x+7 \), start by identifying key features. The slope \( \frac{1}{4} \) means that for every 4 units you move to the right on the x-axis, you move up 1 unit on the y-axis. The y-intercept is 7, which means the line crosses the y-axis at the point (0, 7). Plot this point and then use the slope to find another point, such as moving right 4 units to x=4, and up 1 unit to y=8, giving you the point (4, 8). Draw the line through these points, and you're good to go! Ready for a fun fact? Did you know that the steepness of a line (its slope) can represent real-world rates? For instance, if this line represented distance over time, a slope of \( \frac{1}{4} \) would mean you are traveling one unit of distance for every four units of time! This can be incredibly useful for budgeting travel plans or analyzing speed in various contexts. Now, if you're eager to delve into similar topics, consider studying the concept of parallel and perpendicular lines! Parallel lines have the same slope, while the slopes of perpendicular lines are negative reciprocals of each other (the product of their slopes equals -1). Exploring these relationships can expand your understanding of graphing in two-dimensional space!