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Find and interpret the slope of the line containing the git

((1)/(4),(1)/(5))" and "((5)/(16),(9)/(20))

Find and interpret the slope of the line containing the git\newline(14,15) and (516,920) \left(\frac{1}{4}, \frac{1}{5}\right) \text { and }\left(\frac{5}{16}, \frac{9}{20}\right)

Full solution

Q. Find and interpret the slope of the line containing the git\newline(14,15) and (516,920) \left(\frac{1}{4}, \frac{1}{5}\right) \text { and }\left(\frac{5}{16}, \frac{9}{20}\right)
  1. Identify Coordinates: Identify the coordinates of the points.\newlinePoint 11: (14,15)\left(\frac{1}{4}, \frac{1}{5}\right)\newlinePoint 22: (516,920)\left(\frac{5}{16}, \frac{9}{20}\right)
  2. Calculate Changes: Calculate the change in y-coordinates (Δy\Delta y) and the change in x-coordinates (Δx\Delta x).\newlineΔy=92015=920420=520=14\Delta y = \frac{9}{20} - \frac{1}{5} = \frac{9}{20} - \frac{4}{20} = \frac{5}{20} = \frac{1}{4}\newlineΔx=51614=516416=116\Delta x = \frac{5}{16} - \frac{1}{4} = \frac{5}{16} - \frac{4}{16} = \frac{1}{16}
  3. Calculate Slope: Calculate the slope (m) using the formula m=ΔyΔxm = \frac{\Delta y}{\Delta x}.\newlinem=14116=14×161=4m = \frac{\frac{1}{4}}{\frac{1}{16}} = \frac{1}{4} \times \frac{16}{1} = 4

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