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.)

Answer

Expert–verified

Hide Steps

Answer

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

Steps

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 $\boxed{\left(\frac{4}{7}, 2.16\right)}$