Write an equation in slope-interecpt form for the line with slope $$ \frac{2}{5} $$ and $$ y $$-intereept -2 . Then graph the ilne

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**Step 1. Write the Equation**

The slope–intercept form of a line is given by  
$$
y = mx + b
$$  
where $$ m $$ is the slope and $$ b $$ is the $$ y $$-intercept. Given the slope $$ m = \frac{2}{5} $$ and the $$ y $$-intercept $$ b = -2 $$, the equation of the line is:  
$$
y = \frac{2}{5}x - 2
$$

**Step 2. Graph the Line**

1. **Plot the $$ y $$-intercept:**  
   Start at the point $$(0, -2)$$ on the coordinate plane.

2. **Use the Slope to find another point:**  
   The slope $$ \frac{2}{5} $$ means that for every 5 units you move to the right, the line rises by 2 units.  
   - From $$(0, -2)$$, move 5 units to the right to reach $$(5, -2)$$, and then move 2 units up to reach $$(5, 0)$$.

3. **Draw the Line:**  
   Plot the point $$(5, 0)$$ and draw a straight line through $$(0, -2)$$ and $$(5, 0)$$. Extend the line in both directions, and add arrowheads to indicate that it continues indefinitely.
**Equation:** $$ y = \frac{2}{5}x - 2 $$ **Graph:** 1. Plot the point $$(0, -2)$$. 2. From this point, move 5 units to the right to $$(5, -2)$$ and then 2 units up to $$(5, 0)$$. 3. Draw a straight line through these points and extend it in both directions.

Write an equation in slope-interecpt form for the line with slope and -intereept -2 . Then graph the ilne

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