### Video Transcript

Given that one, π satisfies the relation π¦ minus four π₯ equals seven, find the value of π.

We have the relationship π¦ minus four π₯ equals seven, and weβre told that the coordinate one, π satisfies this relationship. If we plug in one, π, the statement will be true. This coordinate form is π₯ and then π¦. And that means in this equation, weβll plug in one for π₯ and π for π¦. Weβll bring everything else down and have a statement that says π minus four times one equals seven.

To solve for this, first, weβll multiply four times one, which is four. Weβll then have π minus four equals seven. To isolate π, we add four to both sides of the equation, and we get that π equals 11. This means that the coordinate one, 11 satisfies this equation.

We might wanna quickly check and see if thatβs true, where we ask, is 11 minus four times one equal to seven? 11 minus four does equal seven, which confirms the coordinates one, 11. And so, the π-value is 11.