Question

Michael bought a 4pound bag of cat food he fed his cat the same amount of food from from the bags each day as shown in the graph belowWhat is the slope of the graph?

Answer 1

-1/2

Step-by-step explanation

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is,

`m=(y_1-y_2)/(x_1-x_2)`

In the graph, we can take any two points,

Find the slope using the points (0, 4) and (5, 3/2),

`m=(4-(3)/(2))/(0-5)=((4\cdot2-3)/(2))/(-5)=((8-3)/(2))/(-5)=((5)/(2))/(-5)=(5)/(-5\cdot2)=-(1)/(2)`

Hence, the slope is -1/2.