To determine which linear equation corresponds to a line going to the right side (i.e., having a positive slope), we need to look for the equations that have a positive coefficient for \( x \).
Let's analyze the options:
A. \( y = -4x - 2 \) (slope = -4, negative slope) B. \( y = 2x - 3 \) (slope = 2, positive slope) C. \( y = \frac{2}{3}x + 1 \) (slope = \(\frac{2}{3}\), positive slope) D. \( y = -\frac{3}{4}x + 3 \) (slope = -\(\frac{3}{4}\), negative slope)
From this analysis, options B and C have positive slopes and will rise as they extend to the right.
Therefore, both B and C describe lines that go to the right side. If we only need one answer, you can choose either B (\( y = 2x - 3 \)) or C (\( y = \frac{2}{3}x + 1 \)).
If the question specifies which option is likely intended for a line that is most steeply inclined to the right, option B would be it because it has the highest slope.