Question

Which linear equation best represents the line of best fit for the scatterplot?
y = − 1/3x

y= 3x

y=−3x

y = 1/3x

Answer 1

Answer:

$y = -\frac{1}{3}x$

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let:

$(x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)$

Plug in the corresponding numbers to the corresponding variables:

$m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}$

Your answer will be:

$y = -\frac{1}{3}x$