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We are tasked with writing the equation of the line in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. The line passes through the points \( (-1, 4) \) and \( (0, 2) \).

### Step 1: Calculate the slope \( m \)
The formula for the slope \( m \) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \( (x_1, y_1) = (-1, 4) \) and \( (x_2, y_2) = (0, 2) \).

Substitute the points into the formula:
\[
m = \frac{2 - 4}{0 - (-1)} = \frac{-2}{1} = -2
\]

### Step 2: Use slope-intercept form
We already know the slope \( m = -2 \). To find the y-intercept \( b \), we can use the point \( (0, 2) \), since this point already gives the y-intercept directly:
\[
b = 2
\]

### Final Equation
The equation of the line is:
\[
y = -2x + 2
\]

Would you like more details or have any questions? Here are 5 related questions you can explore:
1. How do you find the slope between two general points?
2. How can you check if a point lies on a given line?
3. What is the difference between slope-intercept form and point-slope form?
4. How do changes in the slope \( m \) affect the steepness of the line?
5. What happens if the two points have the same x-coordinate?

**Tip:** Always ensure you substitute the coordinates correctly when calculating slope to avoid sign errors.

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

Learn how to find the equation of a line in slope-intercept form that passes through the points (-1, 4) and (0, 2). This problem involves calculating the slope and determining the y-intercept, covering key algebraic concepts.

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