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: Recall slope - intercept form

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

Step2: Analyze the y - intercept

The y - intercept ($b$) is the value of $y$ when $x = 0$. Here, $x$ represents the number of photos and $y$ represents the number of likes. When $x = 0$ (no photos), $y=10\times0 + 8=8$. So a post with no photos would likely get about 8 likes. The statement "The number of likes a post receives increases by about 8 likes for each photo posted" is wrong because the slope $m = 10$, meaning the number of likes increases by 10 for each photo posted.

Answer:

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