Math Problem Statement

answer with 100% that its correct

Identify the slope and y-intercept of the equation y = 5x - 2.

Solution

The equation given is y=5x2y = 5x - 2, which is in the slope-intercept form of a line y=mx+by = mx + b, where:

  • mm represents the slope.
  • bb represents the y-intercept.

From the equation y=5x2y = 5x - 2:

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

So the correct answers are:

  • The slope is 5.
  • The y-intercept is -2.

If you have any questions or would like further details, feel free to ask!

Here are five related questions to consider:

  1. What is the slope-intercept form of a line?
  2. How do you find the slope and y-intercept from a graph?
  3. Can you explain the relationship between slope and the steepness of a line?
  4. What does a positive slope indicate about the direction of a line?
  5. How do you interpret the y-intercept in real-world problems?

Tip: The slope of a line tells you how much the y-value changes for each change in the x-value.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8