(3) You are shipping Christmas presents and go to the UPS store and find out that they charge a one-time fee plus a fee bosed on how much each package weighs You have one package that weighs 2 pounds and costs 7 A second package weighs 6 pounds and costs 9 Which equation below would show the cost.y, of shipping a package thal weighs x pounds? a.) y=0.5x+5 b y=0.5x+6 ) y=2x+7 d.) y=6x+9

## Step 1: Find the slope<br />### Let $x$ represent the weight of the package and $y$ represent the cost. We have two points: $(2, 7)$ and $(6, 9)$. The slope $m$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 7}{6 - 2} = \frac{2}{4} = \frac{1}{2} = 0.5$.<br /><br />## Step 2: Find the y-intercept<br />### Using the point-slope form $y - y_1 = m(x - x_1)$ with the point $(2, 7)$ and slope $0.5$, we have $y - 7 = 0.5(x - 2)$. Simplifying, we get $y - 7 = 0.5x - 1$, so $y = 0.5x + 6$.