Respuesta :

By applying concepts of linear functions, the graphs are related to the following expressions:

  1. (4/7) · x + 2
  2. x + 2
  3. (1/7) · x + 2
  4. - (1/7) · x + 2
  5. - x + 2

How to match a line with a given linear function

Graphically speaking, lines are described by linear functions, a kind of polynomials of grade 1, whose standard form is presented below:

y = m · x + b     (1)

Where:

  • x - Independent variable
  • y - Dependent variable
  • m - Slope
  • b - Intercept

Please notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the resulting expressions are shown in this order:

  1. (4/7) · x + 2
  2. x + 2
  3. (1/7) · x + 2
  4. - (1/7) · x + 2
  5. - x + 2

To learn more on linear functions: https://brainly.com/question/9330192

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