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which equation best represents a line that matches the trend of the line below (1,4.2) (2,3.8) (3,3.5) (4,2.7) (5,2.2)

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The equation of the line that best represents the trend of the given points is; y = -0.4x + 4.6

Finding the equation of a line that best represents the trend of the given points, using the slope-intercept form of a line, which is (y = mx + b).

Where: (m) is the slope

(b) is the y-intercept.

Calculate the slope (m) using two points from the given data, use (1,4.2) and (2,3.8):

m = change in y / change in x = (3.8 - 4.2) / (2 - 1) = -0.4

Find the y-intercept (b) using one of the points.

Using point (1,4.2):

4.2 = m × 1 + b

Substitute the calculated values of (m); and (b) into the slope-intercept form:

y = slope × x + y-intercept

This equation will represent a line that best fits the trend of the given points.

Calculate the values:

Solving for (b):

b = 4.6

Therefore, the equation of the line that best represents the trend of the given points is: y = -0.4x + 4.6

User Mlecar
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