Math Problem Statement

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

Solution

To find the slope and y-intercept of the linear equation y=10x10y = 10x - 10, we can compare it to the standard form of a linear equation:

y=mx+by = mx + b

Here, mm represents the slope, and bb represents the y-intercept.

  • Slope (m): The coefficient of xx is 10, so the slope m=10m = 10.
  • Y-intercept (b): The constant term is 10-10, so the y-intercept b=10b = -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=10x10y = 10x - 10?
  2. What is the slope of the line perpendicular to y=10x10y = 10x - 10?
  3. How do you find the x-intercept of the line y=10x10y = 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.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

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Suitable Grade Level

Grades 7-8