Problem

Find the missing coordinates to complete the following ordered-pair solutions to the given linear equation. \[ y-2=\frac{2}{7} x \] (a) (7. ) (b) $\left(\frac{4}{7}\right)$ (a) The ordered-pair solution is $(7, \square)$ (Simplify your answer.)

Solution

Step 1 :The given equation is in the form \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

Step 2 :To find the y-coordinate for the given x-coordinate, we can substitute the x-coordinate into the equation and solve for y.

Step 3 :For the ordered-pair solution \((7, \square)\), we substitute \(x = 7\) into the equation to get \(y = 4.0\).

Step 4 :For the ordered-pair solution \(\left(\frac{4}{7}, \square\right)\), we substitute \(x = \frac{4}{7}\) into the equation to get \(y = 2.16\).

Step 5 :Final Answer: \(\boxed{(7, 4)}\) and \(\boxed{\left(\frac{4}{7}, 2.16\right)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/Jtyl2m2u22/

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