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 (m)

The line passes through points (0, 5) and (3, - 1). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=5,x_2 = 3,y_2=-1$. So $m=\frac{-1 - 5}{3-0}=\frac{-6}{3}=-2$.

Step2: Find the y - intercept (b)

The y - intercept is the y - value when $x = 0$. From the graph, when $x = 0$, $y=5$, so $b = 5$.

Answer:

$y=-2x + 5$