Answer
Graph (b)
Work Step by Step
We can deduce the answer by checking the equation. The equation , first of all, is a linear equation so we are expecting a line. We can immediately see that graph (b) is the only linear graph.
Furthermore, by comparing the equation with the general form $y=mx+b$; we see that the line should be sloping downwards and that it intersects the y-axis at $+3$.
$y=-\frac{3}{2}x+3$
This is a linear equation of slope $-3/2$, and $y$-intercept $3$. Thus, we expect our graph to be simply a straight line.
Recall, $y=mx+b \Rightarrow m=-3/2, b=3$
This matches the graph of $\textbf{(b)}$
Graph (b) satisfies all conditions, hence it is the answer.
