Question

mateo buys a bag of flour to make muffins. the graph shows the amount of flour remaining in the bag, y, as a function of the number of batches of muffins mateo makes, x. write an equation to represent the amount of flour remaining, y. y = x+?

Explanation:

Step1: Find the slope

The slope $m$ of a line in the form $y = mx + b$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(0,18)$ and $(6,0)$, we have $m=\frac{0 - 18}{6-0}=\frac{- 18}{6}=-3$.

Step2: Find the y - intercept

The y - intercept $b$ is the value of $y$ when $x = 0$. From the graph, when $x = 0$, $y=18$, so $b = 18$.

Answer:

$y=-3x + 18$