Math Problem Statement

Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8.

Solution

The slope-intercept form of a line is given by:

y=mx+by = mx + b

where:

  • mm is the slope of the line, and
  • bb is the y-intercept.

Given:

  • Slope (mm) = -8,
  • Y-intercept (bb) = 8,

The equation of the line becomes:

y=8x+8y = -8x + 8

Would you like further clarification or details about this? Here are some related questions:

  1. How do you graph a line using the slope-intercept form?
  2. What are the steps to derive the slope-intercept form from two points?
  3. How can the slope-intercept form be converted to standard form?
  4. What happens when the slope is zero in a line equation?
  5. How can you interpret the slope and y-intercept in real-world situations?

Tip: The slope indicates the steepness of a line; negative slope means the line is decreasing as you move from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

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Suitable Grade Level

Grades 6-8