What is the y-intercept of the graph of the equation y = (2/5)x + 2?
Understand the Problem
The question is asking for the y-intercept of the graph of a linear equation. The y-intercept occurs where the graph intersects the y-axis, which happens when x = 0. To find it, we will substitute x = 0 into the equation y = (2/5)x + 2.
Answer
$2$
Answer for screen readers
The y-intercept is $2$.
Steps to Solve
- Substituting x with 0
To find the y-intercept, we need to substitute $x = 0$ into the equation.
The equation is: $$ y = \frac{2}{5}x + 2 $$
We substitute to find: $$ y = \frac{2}{5}(0) + 2 $$
- Calculating the result
Now, we calculate the value of $y$ after substitution.
Since $\frac{2}{5}(0) = 0$, we have: $$ y = 0 + 2 $$
- Finding the y-intercept
Now we can conclude the value of $y$ when $x = 0$.
Thus, $$ y = 2 $$
This means the y-intercept of the graph is at the point (0, 2).
The y-intercept is $2$.
More Information
The y-intercept is the point where the graph of the equation crosses the y-axis. In this case, it indicates that when $x = 0$, the value of $y$ is $2$. This point is often represented as the coordinate (0, 2) on a graph.
Tips
- Forgetting to substitute $x$ with $0$ correctly and using other values instead.
- Miscalculating simple arithmetic after substitution.
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