cC. 13 checkpoint: Compare linear functions XQJFunction A is a linear function. Some values of Function A are shown in the table\begin{tabular}{|c|c|c|}\hline−8 & 2 & 4 \\\hline−15 & 10 & 15 \\\hline\end{tabular}Which of the following functions has the same slope as Function A?y=2.5x−2.5y=−2.5x+2.5y=0.4x−0.4y=−0.4x+0.4SubmitWork it outNot feeling ready yet? This can help:Compare linear functions: tables, grophs, and nowations
Q. cC. 13 checkpoint: Compare linear functions XQJFunction A is a linear function. Some values of Function A are shown in the table\begin{tabular}{|c|c|c|}\hline−8 & 2 & 4 \\\hline−15 & 10 & 15 \\\hline\end{tabular}Which of the following functions has the same slope as Function A?y=2.5x−2.5y=−2.5x+2.5y=0.4x−0.4y=−0.4x+0.4SubmitWork it outNot feeling ready yet? This can help:Compare linear functions: tables, grophs, and nowations
Use Two Points: To find the slope of Function A, use two points from the table. Let's use (2,10) and (4,15).
Calculate Slope: Calculate the slope m using the formula m=x2−x1y2−y1. Here, (x1,y1)=(2,10) and (x2,y2)=(4,15).
Substitute Values: Substitute the values into the slope formula: m=4−215−10.
Perform Calculations: Perform the calculations: m=25.
Simplify Result: Simplify the result: m=2.5.
Compare Slopes: Now, compare the slope of Function A with the slopes of the given functions. The function with a slope of 2.5 will match Function A's slope.
Match Function A:y=2.5x−2.5 has a slope of 2.5, which matches Function A's slope.