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Write the equation of the line including the appropriate units for each number.

Hint: Linear equations are represented by [tex]y = mx + b[/tex]. The units for [tex]x[/tex] and [tex]y[/tex] are provided in the graph. The unit for the slope [tex]m[/tex] is based on dividing the unit of [tex]y[/tex] by the unit of [tex]x[/tex]. The last number in the equation is the y-intercept [tex]b[/tex], which has the same unit as the vertical axis.

Given:
- [tex]A = -27.8 \, \text{m/s}[/tex]
- [tex]B = 97.4 \, \text{m}[/tex]
- RMSE: 5.59 m
- [tex]r = -0.875[/tex]

Answer :

the equation of the line allows us to find the answer is

y = -27.8 t + 97.4

The equation of a line in a linear relationship between two variables, its general expression is

y = A x + B


in this case the slope is the quantity that the independent variable in this case A = -27.8 m / s

The cut-off point that is the value of the dependent variable for x = is b = 97.4 m


In this case we see that the slope has a unit of [m / s] and the dependent variable is a unit of length, therefore the independent variable must have a unit of time [s] so that the entire equation is in units of length


y = -27.8 t + 97.4

[m] = [m / s] [s] + [m]

[m] = [m]


The other two magnitudes with are necessary to write the equation r is the mean square root and gives an idea that the values ​​also fit the line, the best value is 1


In conclusion, the equation of the line allows us to find the answer is

y = -27.8 t + 97.4


learn more about the equation inear here:

https://brainly.com/question/22851869

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