A slope is a numerical measure of a line's inclination compared to the horizontal, and the following definition could be used to continue the discussion:
Slope calculation:
The linear function must be used to represent the data if Dawn climbs at a constant rate.
Calculate the slope between each pair of locations to confirm that the function is linear:
[tex]= \frac{-25 - (-27)}{3 - 0}\ = \frac{-25 +27}{3 - 0}=\frac{2}{3}=\frac{-21 - (-25)}{9 - 3} =\frac{-21 +25}{9 - 3} =\frac{4}{6} =\frac{2}{3} \\\\=\frac{-15 - (-21)}{18 - 9} =\frac{-15 +21}{18 - 9} =\frac{6}{8} =\frac{2}{3} \\\\=\frac{-7- (-15)}{30 - 18} =\frac{-7+15}{30 - 18}=\frac{8}{12} =\frac{2}{3} \\\\=\frac{-1-(-7)}{39 - 30} =\frac{-1 +7}{39 - 30} =\frac{6}{9} =\frac{2}{3}\\\\ =\frac{0 - (-1)}{40.5 - 39} =\frac{0+ 1}{40.5 - 39} = \frac{1}{1.5} =\frac{2}{3} \\\\[/tex]
- Since all of the slopes are constant, the data is modeled using a linear function with a slope of [tex]m=\frac{2}{3}[/tex].
- The y-intercept of the functional is b = -27 since it passes through the point [tex](0, -27)[/tex].
- A linear function has the slope-intercept form [tex]\bold{y = mx + b}[/tex], therefore [tex]H(t) = \frac{2}{3} t - 27[/tex].
Find out more about the slope here:
brainly.com/question/3605446
