Question

y = -\frac{3}{2}x + 2

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=2$. So the line crosses the y-axis at $(0, 2)$.

Step2: Identify slope

The slope $m=-\frac{3}{2}$, meaning $\frac{\text{change in } y}{\text{change in } x}=-\frac{3}{2}$. From $(0,2)$, move 2 units right and 3 units down to get the point $(2, -1)$.

Step3: Plot and connect points

Mark $(0,2)$ and $(2,-1)$ on the grid, then draw a straight line through them, extending it across the graph.

Answer:

The line passes through points $(0, 2)$ and $(2, -1)$, and extends infinitely in both directions on the coordinate grid.