Question

the equation for the line of best fit is y = 10x + 8. according to the equation, which of these statements is true? a post with no photos would likely get about 8 likes. the number of likes a post receives increases by about 8 likes for each photo

Explanation:

Step1: Analyze the linear equation \(y = 10x+8\)

In the slope - intercept form \(y=mx + b\) (where \(m\) is the slope and \(b\) is the \(y\) - intercept). Here, \(x\) represents the number of photos and \(y\) represents the number of likes.

Step2: Interpret the \(y\) - intercept

When \(x = 0\) (no photos), substitute \(x = 0\) into the equation \(y=10x + 8\). We get \(y=10\times0+8=8\).

Step3: Interpret the slope

The slope \(m = 10\), which means for each additional photo (\(x\) increases by 1), the number of likes (\(y\)) increases by 10 (not 8 as the second statement claims).

Answer:

A post with no photos would likely get about 8 likes.