Question

If (2,58) and (9,72) are two anchor points on a trend line, then find the equation of the line.

Answer 1

Step 1

Write the two coordinates:

(2,58) and (9,72)

Step 2

Use the two points form of the equation of a line formula:

`(y-y_1)/(x-x_1)\text{ = }(y_2-y_1)/(x_2-x_1)`

Step 3

Write the given values:

`\begin{gathered} x_1\text{ = 2} \\ y_1\text{ = 58} \\ x_2\text{ = 9} \\ y_2\text{ = 72} \end{gathered}`

Step 4

`\begin{gathered} (y-58)/(x-2)\text{ = }(72-58)/(9-2) \\ \\ (y-58)/(x-2)\text{ = }(14)/(7) \\ \\ (y-58)/(x-2)\text{ = 2} \\ \\ y\text{ - 58 = 2x - 4} \\ \\ y\text{ = 2x - 4 + 58} \\ \\ y\text{ = 2x + 54} \end{gathered}`

Final answer

y = 2x + 54