Question

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 $(6,0)$. 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, $x_1 = 0,y_1=-3,x_2 = 6,y_2 = 0$. So $m=\frac{0-(-3)}{6 - 0}=\frac{3}{6}=\frac{1}{2}$.

Step2: Find the y - intercept

The y - intercept $b$ is the y - coordinate of the point where the line crosses the y - axis. The line crosses the y - axis at $(0,-3)$, so $b=-3$.

Answer:

$y=\frac{1}{2}x-3$