Question

the graph above shows a line of best fit for data collected on the points received by the top ten paintball teams at a tournament. which equation best represents this line? y = 3.32x + 105.3 y = - 3x+100 y = - 3.32x + 105.3 y = - x + 90

Explanation:

Step1: Recall slope - intercept form

The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. The slope $m$ is positive if the line is increasing from left to right.

Step2: Analyze the y - intercept

The line crosses the y - axis above the origin, so $b>0$.

Step3: Estimate slope

The line is increasing, so the slope $m>0$. By looking at the line, if we consider two points on the line and use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we can estimate the slope. The line seems to have a non - zero positive slope and a positive y - intercept.
For the equation $y=3.32x + 105.3$, the slope $m = 3.32>0$ and the y - intercept $b = 105.3>0$.

Answer:

$y=3.32x + 105.3$