Question

write an equation to represent the amount of flour remaining, y. y = x + 18

Explanation:

Step1: Find the slope

The line passes through points (0, 18) and (6, 0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=18,x_2 = 6,y_2 = 0$. So $m=\frac{0 - 18}{6-0}=\frac{- 18}{6}=-3$.

Step2: Write the equation

The equation of a line in slope - intercept form is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We found $m=-3$ and from the graph when $x = 0,y=18$ so $b = 18$. The equation is $y=-3x + 18$.

Answer:

$y=-3x + 18$ (the first blank is - 3)