Which of the following equations best represents the trend line for the scatter plot shown below

We can tell this because if we use the first two points, it creates this line. We can tell that because using the two points first gives us a slope of 3.

(1, 8) (2, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 8)/(2 - 1)

m = 3/1

m = 3

We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.

anuksha0456 anuksha0456 · Answer 2 · 2022-06-04T00:01:11+02:00

The equation for the required trend line is y = 3x + 5, the second option.

What is an equation?

An equation is a relation between two variables (say x and y) determining the value of one given the other.

The standard form of a linear equation is y = mx + b, where m is the slope of the line, and b is the y-intercept.

What is the two-point formula of a straight line?

A line passing through the points (x1, y1), and (x2, y2) can be represented by the equation:

y - y1 = {(y2 - y1)/(x2 - x1)}(x - x1).

How do we solve the given question?

We are asked to determine the equation of the trend line of the scatter plot shown in the figure.

To find the equation, we first draw the trend line (attached).

As the trend line passes through the points, (1, 8), (2, 11),

we use the two-point formula to determine the equation.

We take x1 = 1, y1 = 8, x2 = 2, y2 = 11.

Substitute these values in the equation:

y - y1 = {(y2 - y1)/(x2 - x1)}(x - x1), we get

y - 8 = {(11 - 8)/(2 - 1)}(x - 1)

or, y - 8 = {3/1}(x - 1)

or, y - 8 = 3(x-1)

or, y = 3x - 3 + 8 = 3x + 5

∴ The equation for the required trend line is y = 3x + 5, the second option.

Learn more about the two-point formula at

https://brainly.com/question/3654818

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