1. The problem is to find the equation representing the table of values and verify if the given equations and graphs are correct. 2. The general form of a linear equation is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. For each equation, check the slope and y-intercept and verify with the points given: - For $y = 3x - 4$, slope $m=3$, y-intercept $b=-4$. Points (-1, -7) and (2, 2) satisfy: $$3(-1) - 4 = -3 - 4 = -7$$ $$3(2) - 4 = 6 - 4 = 2$$ This matches the description. - For $y = -4x + 1$, slope $m=-4$, y-intercept $b=1$. Points (0, 1) and (1, -3) satisfy: $$-4(0) + 1 = 1$$ $$-4(1) + 1 = -4 + 1 = -3$$ This matches the description. - For $y = - (0/x)$, this simplifies to $y=0$ (horizontal line through origin). The graph is a horizontal line at $y=0$ passing through (0,0), which is correct. - For $y = -2x + 2$, slope $m=-2$, y-intercept $b=2$. Points (0, 2) and (1, 0) satisfy: $$-2(0) + 2 = 2$$ $$-2(1) + 2 = -2 + 2 = 0$$ This matches the description. 4. Therefore, all given equations correctly represent their respective tables of values and graphs. Final answer: Yes, the equations and graphs are correct.