To determine the correct linear equation from the options given based on the description of a line going "right upward," we need to identify which equation has a positive slope. A line that goes upward to the right has a positive slope.
Let's evaluate each option:
A. \( y = -4x + 2 \) — This has a negative slope (-4).
B. \( y = 2x - 3 \) — This has a positive slope (2).
C. \( y = \frac{2}{3}x + 1 \) — This also has a positive slope (\(\frac{2}{3}\)).
D. \( y = -\frac{3}{4}x + 3 \) — This has a negative slope (-\(\frac{3}{4}\)).
Since the question specifies a line that goes upward to the right, there are two suitable options: B and C. Both have positive slopes that indicate they go upward. However, without additional details about the exact slope or y-intercept from the graph, we can't determine which one is the exact equation for the line shown.
If you need one option, you may choose either B or C based on their positive slopes. If you have more context about the graph (like specific points or intercepts), that would help in choosing the most accurate equation.