Identify the y-coordinate for the equation y = 12 - x when x = 7.
Understand the Problem
The question is asking to identify the y-coordinate for a given x-coordinate (7) based on the linear equation provided. The approach involves substituting the x-value into the equation y = 12 - x and solving for y.
Answer
The y-coordinate is $5$.
Answer for screen readers
The y-coordinate for the given x-coordinate (7) is $5$.
Steps to Solve
- Substituting the x-value into the equation
To find the y-coordinate when $x = 7$, substitute $7$ into the equation $y = 12 - x$.
- Performing the subtraction
Calculate the value of $y$ using the substitution: $$ y = 12 - 7 $$
- Simplifying the equation
Now, simplify the equation to find the value of $y$: $$ y = 5 $$
The y-coordinate for the given x-coordinate (7) is $5$.
More Information
In this linear equation, as $x$ increases, $y$ decreases. Here, the slope is negative, showing an inverse relationship between $x$ and $y$.
Tips
- Forgetting to switch the sign when substituting values; ensure to carefully perform the calculation to avoid errors.
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