Question 13 Which equation represents a line passing through the point \( (4,33) \) wuth s slape of 3 ? A) \( y=3 x=15 \) 8) \( y=3 x+33 \) C) \( y=3 x-8 \) D) \( y=3 x+9 \)

To find the equation of a line with a slope of 3 that goes through the point \( (4, 33) \), you can use the point-slope form of a line: \( y - y_1 = m(x - x_1) \), where \( (x_1, y_1) \) is the point and \( m \) is the slope. Plugging in the values gives: \( y - 33 = 3(x - 4) \). Simplifying this leads to \( y = 3x + 21 \), which isn't listed directly but can lead to the correct adjustments in provided options. In real-world scenarios, lines represent relationships between two variables. For example, if you're studying the relationship between time spent studying (x) and grades achieved (y), knowing the slope gives you an indication of how much the grade will change with each additional hour studied. Here, the more hours you invest, the higher your potential grade can soar!