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what is the equation of the line of best fit? y = -5/8x + 170 y = 25x +…

Question

what is the equation of the line of best fit? y = -5/8x + 170 y = 25x + 170 y = -25x + 170 y = 5/8x + 170

Explanation:

Step1: Determine slope sign

The line is decreasing, so slope $m$ is negative. This eliminates $y = 25x+170$ and $y=\frac{5}{8}x + 170$.

Step2: Estimate slope magnitude

The line seems to drop about 25 - 30 units vertically for every 1 - unit horizontal increase. $-\frac{5}{8}$ is a very small negative slope, while - 25 is a steeper negative slope that seems to match the line better.

Answer:

$y=-25x + 170$