Mathematics
Grade-8
Easy

Question

What is the equation of the trend line in the scatter plot?

Use the two blue points to write the equation is slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.

  1. y = 8 over 7 x + 1
  2. y = 7 over 8x + 1
  3. y = - 7 over 8 + 1
  4. y = - 8 over 7 + 1

hintHint:

We use the slope-intercept form or the point-slope form to find a linear function. The process of finding a linear function is the same as the process of finding the equation of a line 

The correct answer is: y = 7 over 8x + 1



    We use the slope-intercept form or the point-slope form to find a linear function. The process of finding a linear function is the same as the process of finding the equation of a line
    The given points are (x1, y1) = (0, 1) and (x₂, y₂) = (8, 8).
    Step 1: Find the slope of the function using the slope formula:
    m = (y₂ - y1) / (x₂ - x1) = (8 - 1) / (8 - 0) = 7/8
    Step 2: Find the equation of linear function using the point slope form.
    y - y1 = m (x - x1)
    y - 1 = 7/8 (x - 0)
    y - 1 = 7/8x
    y  = 7/8x + 1
    y space equals space 7 over 8 x space plus space 1
    Therefore, the equation of the linear function is, y = 7/8x + 1.

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