Question

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

Explanation:

Step1: Analyze the slope - intercept form of a linear equation

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y=10x + 8\), \(m = 10\) and \(b = 8\).

Step2: Interpret the slope and \(y\) - intercept

The slope \(m = 10\) means that for each increase of \(x\) (number of photos) by \(1\), \(y\) (number of likes) increases by \(10\). The \(y\) - intercept \(b = 8\) means that when \(x = 0\) (no photos), \(y=8\).

Answer:

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