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cC. 13 checkpoint: Compare linear functions XQJ
Function 
A is a linear function. Some values of Function 
A are shown in the table




-8
2
4


-15
10
15




Which of the following functions has the same slope as Function A?

y=2.5 x-2.5

y=-2.5 x+2.5

y=0.4 x-0.4

y=-0.4 x+0.4
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Compare linear functions: tables, grophs, and nowations

cC. 1313 checkpoint: Compare linear functions XQJ\newlineFunction A A is a linear function. Some values of Function A A are shown in the table\newline\begin{tabular}{|c|c|c|}\newline\hline8-8 & 22 & 44 \\\newline\hline15-15 & 1010 & 1515 \\\newline\hline\newline\end{tabular}\newlineWhich of the following functions has the same slope as Function A?\newliney=2.5x2.5 y=2.5 x-2.5 \newliney=2.5x+2.5 y=-2.5 x+2.5 \newliney=0.4x0.4 y=0.4 x-0.4 \newliney=0.4x+0.4 y=-0.4 x+0.4 \newlineSubmit\newlineWork it out\newlineNot feeling ready yet? This can help:\newlineCompare linear functions: tables, grophs, and nowations

Full solution

Q. cC. 1313 checkpoint: Compare linear functions XQJ\newlineFunction A A is a linear function. Some values of Function A A are shown in the table\newline\begin{tabular}{|c|c|c|}\newline\hline8-8 & 22 & 44 \\\newline\hline15-15 & 1010 & 1515 \\\newline\hline\newline\end{tabular}\newlineWhich of the following functions has the same slope as Function A?\newliney=2.5x2.5 y=2.5 x-2.5 \newliney=2.5x+2.5 y=-2.5 x+2.5 \newliney=0.4x0.4 y=0.4 x-0.4 \newliney=0.4x+0.4 y=-0.4 x+0.4 \newlineSubmit\newlineWork it out\newlineNot feeling ready yet? This can help:\newlineCompare linear functions: tables, grophs, and nowations
  1. Use Two Points: To find the slope of Function A, use two points from the table. Let's use (2,10)(2, 10) and (4,15)(4, 15).
  2. Calculate Slope: Calculate the slope mm using the formula m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. Here, (x1,y1)=(2,10)(x_1, y_1) = (2, 10) and (x2,y2)=(4,15)(x_2, y_2) = (4, 15).
  3. Substitute Values: Substitute the values into the slope formula: m=151042m = \frac{15 - 10}{4 - 2}.
  4. Perform Calculations: Perform the calculations: m=52m = \frac{5}{2}.
  5. Simplify Result: Simplify the result: m=2.5m = 2.5.
  6. Compare Slopes: Now, compare the slope of Function A with the slopes of the given functions. The function with a slope of 2.52.5 will match Function A's slope.
  7. Match Function A: y=2.5x2.5y=2.5x-2.5 has a slope of 2.52.5, which matches Function A's slope.

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