Which linear equation best represents the line of best fit for the scatterplot?

Mathematics

1 answer:

Lena [83]2 years ago

7 0

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:

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

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The slope of the line passing through (1 , 0) and (3 , 8) is 4.

Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, $(x_{1}, y_{1} )$ and $(x_{2}, y_{2} )$ , to calculate the change in y over the change in x.