Find the slope and the -intercept of the line.
y=2/5x

The given equation of the line is:

\[
y = \frac{2}{5}x
\]

This equation is in the slope-intercept form, which is:

\[
y = mx + b
\]

Here:
- \(m\) is the slope of the line.
- \(b\) is the y-intercept (the value of \(y\) when \(x = 0\)).

From the equation \(y = \frac{2}{5}x\):
- The slope \(m = \frac{2}{5}\).
- The y-intercept \(b = 0\), since there is no constant term added or subtracted from \(\frac{2}{5}x\).

So, the **slope** is \(\frac{2}{5}\) and the **y-intercept** is \(0\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you find the x-intercept of this line?
2. What does the slope of \(\frac{2}{5}\) tell you about the line's steepness?
3. How would the graph of the line change if the slope were negative?
4. What is the slope of a line perpendicular to this one?
5. How would you write the equation of a line with the same slope but a y-intercept of 3?

**Tip:** Always check the slope and intercepts from a line equation by comparing with the standard slope-intercept form \(y = mx + b\).

Learn how to find the slope and y-intercept of the line given by the equation y = (2/5)x. Understand the concept of slope as the ratio of vertical change to horizontal change, and y-intercept as the value of y when x = 0. Suitable for Grades 7-9.

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