Question

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.

Explanation:

Step1: Select two points on the line

Let's choose the points \((0,0)\) and \((4,4)\) on the line.

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(4,4)\) into the formula, we get \(m=\frac{4 - 0}{4 - 0}\).

Step3: Calculate the slope

\(m=\frac{4}{4}=1\).

In the problem situation, the slope of \(1\) means that for every 1 unit of blue paint, Briana mixes 1 unit of yellow paint.

Answer:

The slope of the line is \(1\). It means that for every 1 unit of blue paint, Briana mixes 1 unit of yellow paint.