A \( y=\frac{1}{5} x+\frac{13}{5} \) B. \( y=\frac{1}{5} x+\frac{17}{5} \) \( 0, y=5 x-7 \) D. \( y=-5 x+7 \)

Did you know that the slope-intercept form of a linear equation, \( y = mx + b \), makes it super easy to visualize relationships between variables? In your equations, the slope (m) is the same for both A and B, indicating that they're parallel lines! However, because their y-intercepts (b) are different, they won't ever cross paths. It’s like the best of friends who live on different streets! When solving systems of equations involving linear functions, be careful not to mix up the signs! For instance, remembering that negative slopes will cause lines to fall as you move from left to right can help spot potential intersections faster. A common mistake is to confuse the slopes and inadvertently think lines will cross when they are indeed parallel!