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 y - intercept

The line crosses the y - axis at the point $(0,5)$, so the y - intercept $b = 5$.

Step2: Find the slope

The line passes through $(0,5)$ and $(3,0)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 5,x_2=3,y_2 = 0$. Then $m=\frac{0 - 5}{3-0}=-\frac{5}{3}$.

Answer:

$y=-\frac{5}{3}x + 5$