Find the slope and the y-intercept of the line. y=4x-6

To find the slope and the y-intercept of the line given by the equation \( y = 4x - 6 \), we can compare it to the slope-intercept form of a line:

\[
y = mx + b
\]

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

From the equation \( y = 4x - 6 \):
- The slope \( m \) is 4.
- The y-intercept \( b \) is -6.

Thus:
- **Slope**: 4
- **Y-intercept**: -6 (This means the line crosses the y-axis at the point (0, -6)).

Would you like a more detailed explanation or have any questions?

Here are five related questions for further practice:
1. What is the slope of the line \( y = -3x + 7 \)?
2. How would you find the x-intercept of the line \( y = 4x - 6 \)?
3. If the slope of a line is zero, what does the graph of the line look like?
4. What is the slope of the line passing through the points (1, 2) and (3, 8)?
5. How do you determine the equation of a line from its graph?

**Tip:** The slope of a line represents how steep the line is, and the y-intercept shows where the line crosses the y-axis.

Learn how to find the slope and y-intercept of the linear equation y = 4x - 6. This problem uses key algebraic concepts, including the slope-intercept form of a line, making it ideal for students in Grades 6-8.

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