find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign. y = x+

Explanation:

Step1: Find the slope

The line passes through points $(0,3)$ and $(2,0)$. The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=3,x_2 = 2,y_2 = 0$. So $m=\frac{0 - 3}{2-0}=-\frac{3}{2}$.

Step2: Find the y - intercept

The y - intercept $b$ is the y - value when $x = 0$. From the graph, when $x = 0$, $y=3$, so $b = 3$.

Answer:

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