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To write the equation of the line in slope-intercept form (which is \(y = mx + b\)), we need two things:

1. **Slope** (\(m\)): This can be calculated using the formula:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.

2. **y-intercept** (\(b\)): This is the value of \(y\) when \(x = 0\).

### Step 1: Find the slope
We have two points from the graph: \((0, 1)\) and \((1, -4)\). Using the slope formula:
\[
m = \frac{-4 - 1}{1 - 0} = \frac{-5}{1} = -5
\]

### Step 2: Use the slope-intercept form
We already know the y-intercept (\(b\)) from the graph. The line crosses the y-axis at the point \((0, 1)\), so \(b = 1\).

Thus, the equation of the line is:
\[
y = -5x + 1
\]

Would you like more details, or do you have any questions about this process?

Here are 5 related questions to explore further:
1. How do you find the slope if the points are not integers?
2. How does the slope of a line affect its steepness?
3. What is the general form of a linear equation, and how does it relate to slope-intercept form?
4. How can you find the equation of a line if the slope and one point are given?
5. How can you graph a line using just its equation?

**Tip**: Always double-check your slope by ensuring that the direction (upward or downward) matches the visual of the line!

Write the equation of the line in slope-intercept form using the points (0, 1) and (1, -4).

Learn how to write the equation of a line in slope-intercept form using the points (0, 1) and (1, -4). This problem covers key algebraic concepts, including calculating the slope and determining the y-intercept.

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