Question

The from y=mx passes through the points (2, - 15) and (6, - 45)

Answer 1

y = -7.5x

Step-by-step explanation:

The given points: (2, -15) and (6, -45)

The equation of the proportional relationship given:

y = mx

m = slope

We apply slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=2,y_1=-15,x_2=6,y_2\text{ = }-45 \\ m\text{ = }\frac{-45\text{ - (-15)}}{6\text{ - 2}} \\ m\text{ = }(-45+15)/(4) \end{gathered}`
`\begin{gathered} m\text{ = }(-30)/(4) \\ m\text{ = -15/2} \\ m\text{ = -7.5} \end{gathered}`

The relationship of the equation becomes:

y = -7.5x