Question

practice

1. the graph shows the proportions of blue paint

and yellow paint that briana mixes to make
green paint. what is the slope of the line?
tell what it means in the problem situation.
yellow paint
blue paint

Explanation:

Step1: Select two points on the line

Let's choose \((0,0)\) and \((9,9)\)

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(9,9)\) into the formula:
\(m=\frac{9 - 0}{9 - 0}=\frac{9}{9}=1\)

Step3: Interpret the slope in the context

The slope \(m = 1\) means that for every 1 unit of blue paint, 1 unit of yellow paint is mixed.

Answer:

The slope of the line is \(1\). It means that the proportion of blue paint to yellow paint is \(1:1\), i.e., for each unit of blue paint, one unit of yellow paint is used to make green paint.