Find the slope and y-intercept of y=10x-10

To find the slope and y-intercept of the linear equation \( y = 10x - 10 \), we can compare it to the standard form of a linear equation:

\[
y = mx + b
\]

Here, \( m \) represents the slope, and \( b \) represents the y-intercept.

- **Slope (m):** The coefficient of \( x \) is 10, so the slope \( m = 10 \).
- **Y-intercept (b):** The constant term is \(-10\), so the y-intercept \( b = -10 \).

### Summary:
- **Slope:** 10
- **Y-intercept:** -10

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the slope of the line parallel to \( y = 10x - 10 \)?
2. What is the slope of the line perpendicular to \( y = 10x - 10 \)?
3. How do you find the x-intercept of the line \( y = 10x - 10 \)?
4. What is the equation of a line with a slope of 10 passing through the point (2, 3)?
5. How does the slope affect the steepness of the line?

**Tip:** When the slope is positive, the line inclines upwards from left to right. A larger slope indicates a steeper incline.

Discover how to find the slope and y-intercept of the linear equation y = 10x - 10. This problem explores key algebraic concepts, including the slope-intercept form. Ideal for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation