Math Problem Statement

Find the y-intercept and the slope of the line. y = -5x - 2

Solution

The equation given is:

y=5x2y = -5x - 2

This is in the slope-intercept form, y=mx+by = mx + b, where:

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

From this equation:

  • The slope (mm) is 5-5.
  • The y-intercept (bb) is 2-2.

Thus:

  • y-intercept: 2-2
  • slope: 5-5

Would you like further details on this solution or have any questions?

Here are some additional related questions to explore:

  1. How do you find the slope from two points?
  2. What is the significance of the y-intercept in a real-world context?
  3. How would the line change if the slope were positive?
  4. What does a slope of zero indicate about the line?
  5. How can we determine the x-intercept from this equation?

Tip: Remember, in the slope-intercept form y=mx+by = mx + b, mm represents how steep the line is, and bb indicates where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 8-10