1. The problem is to solve the equation $y=2x-3$ in the $xy$-plane and find 4 points $(x,y)$ that satisfy this equation. 2. The equation $y=2x-3$ is a linear function where $y$ depends on $x$. For any value of $x$, we can find $y$ by substituting $x$ into the equation. 3. Let's choose 4 values for $x$ and calculate the corresponding $y$ values: - For $x=0$: $y=2(0)-3=0-3=-3$ - For $x=1$: $y=2(1)-3=2-3=-1$ - For $x=2$: $y=2(2)-3=4-3=1$ - For $x=3$: $y=2(3)-3=6-3=3$ 4. The 4 points on the line are $(0,-3)$, $(1,-1)$, $(2,1)$, and $(3,3)$. 5. These points satisfy the equation and lie on the line represented by $y=2x-3$.