Question

equations of lines of best fit
cristina leal
multiple-choice question
what is the equation of this line of best fit?
y = 45x - 10
y = -10x + 45
rewatch skip
equations of lines of best fit
carol s...
equation:
use the equation to predict the value for y when x = 20
y =
equation:
use the equation to predict the value for x when y = 20
x =

Explanation:

The line of best fit has a negative slope (since the line is decreasing) and we analyze the options. The equation \( y = -10x + 45 \) has a negative slope (\(-10\)) while \( \hat{y}=45x - 10\) has a positive slope. From the graph (with the line decreasing) and the form \( y=mx + b \), the correct equation should have a negative \( m \). So \( y = -10x + 45 \) matches the slope and intercept context.

Answer:

\( y = -10x + 45 \)