Use the​ slope-intercept form of the linear equation to write the equation of the line with the given slope and​ y-intercept.
Slope negative 4​; ​y-intercept ​(0,2​)

The slope-intercept form of a linear equation is given by:

\[
y = mx + b
\]

Where:
- \(m\) is the slope.
- \(b\) is the y-intercept.

Given:
- Slope \(m = -4\)
- Y-intercept \(b = 2\) (since the point \( (0, 2) \) represents the y-intercept).

Substitute these values into the slope-intercept equation:

\[
y = -4x + 2
\]

Thus, the equation of the line is:

\[
y = -4x + 2
\]

Would you like more details or have any questions?

Here are 5 related questions to practice:
1. What is the equation of a line with a slope of \(3\) and a y-intercept of \((0, -5)\)?
2. How would the equation change if the slope was positive \(4\) instead of negative?
3. Find the slope of a line passing through points \((1, 3)\) and \((2, -1)\).
4. What is the x-intercept of the equation \(y = -4x + 2\)?
5. How does the slope affect the steepness of the line?

**Tip:** The y-intercept \((0, b)\) is the point where the line crosses the y-axis, and the slope \(m\) tells you how steep the line is.

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope negative 4; y-intercept (0, 2).

Learn how to use the slope-intercept form to write the equation of a line with a slope of -4 and a y-intercept at (0, 2). This problem covers key algebraic concepts like the slope-intercept formula y = mx + b, suitable for Grades 6-8.

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