Mathematics
Grade-8
Easy

Question

Find the slope for the trend line using points (2,2) and (4,3)

  1. 2
  2. 1 half
  3. -2
  4. negative 1 half

hintHint:

A trend line indicates a linear relationship. The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.
To find the slope of the equation of the trend line, m, use the formula:
m space equals space fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction

The correct answer is: 1 half


    A trend line indicates a linear relationship. The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.
    To find the slope of the equation of the trend line, m, use the formula:
    m space equals space fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction

    Given points (2,2) and (4,3)
    Here, x1 = 2 , y1 = 2
    x2 = 4 and y2 =3
    Substituting in equation of slope for linear equation
    m space equals space fraction numerator 3 space minus space 2 over denominator 4 space minus space 2 end fraction
m space equals space 1 half
T h u s space comma space t h e space s l o p e space left parenthesis m right parenthesis space equals space 1 half

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