Identify the y-coordinate of the point (6, [?]) on the graph of y = 3x + 3.
Understand the Problem
The question is asking to identify the y-coordinate of a point on the graph defined by the equation y = 3x + 3 when x = 6. We need to substitute x with 6 to find the corresponding y-coordinate.
Answer
The y-coordinate when $x = 6$ is $21$.
Answer for screen readers
The y-coordinate is $21$.
Steps to Solve
- Substituting the value of x
In the equation $y = 3x + 3$, substitute $x$ with $6$.
$$ y = 3(6) + 3 $$
- Calculating the product
Now multiply $3$ by $6$.
$$ y = 18 + 3 $$
- Adding the values
Next, add the result from the previous step.
$$ y = 18 + 3 = 21 $$
The y-coordinate is $21$.
More Information
The equation $y = 3x + 3$ represents a linear function, and by substituting values for $x$, you can find corresponding values for $y$. The line has a slope of $3$ and a y-intercept of $3$, indicating it rises steeply.
Tips
- Forgetting to perform basic arithmetic after substitution.
- Not properly substituting the variable; make sure each replacement is accurate.
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