Question

Match each equation to the line of best fit that it models.

Answer 1

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: brainly.com/question/9330192

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