Question

The graph shows the numbers of quarts of yellow paint that must be mixed with different numbers of quarts of red paint to make a certain shade of orange paint.

Based on the graph, write an equation that shows the relationship between the number of quarts of yellow paint, y, and the number of quarts of red paint, x, needed to make the shade of orange paint.


Enter your equation in the space provided. Enter only your equation.

Answer 1

`y =(2)/(5)x`

Explanation:

To find the equation, we need to use two points, which can be (0,0) and (5,2).

First, we find the slope

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) ) =(2-0)/(5-0)=(2)/(5)`

Therefore, the slope for the equation is 2/5.

Now, we use the point-slope formula to find the equation

`y-y_(1) =m(x-x_(1) )\\y-0=(2)/(5)(x-0)\\y =(2)/(5)x`

Therefore, the equation that represents this situation is
`y =(2)/(5)x`