Question

I'm confused on this question about graphs

Answer 1

The constant propertion is the slope of the line

The expression for the constant proportion is :

`\text{ Constant Proportion:}(y)/(x)\text{=}(y_2-y_1)/(x_2-x_1)`

Consider any two coordinates of the graph : ( 1, 10) & (2, 20)

`\begin{gathered} \text{ Constant Proportion:}(y)/(x)\text{=}(y_2-y_1)/(x_2-x_1) \\ \text{Constant Proportion:}(y)/(x)\text{=}(20-10)/(2-1) \\ \text{Constant Proportion:}(y)/(x)\text{=}(10)/(1) \\ \text{Constant Proportion:}(y)/(x)\text{=}10 \\ \text{ Apply crossmultiplication } \\ (y)/(x)=(10)/(1) \\ y*1=10* x \\ y=10x \end{gathered}`

So the equation is y = 10x

Answer : y = 10x