Math Problem Statement

Find the slope and y-intercept of the given line. The equation is y = 1/2x + 2.

Solution

The equation of the line given in the image is:

y=12x+2y = \frac{1}{2}x + 2

Finding the Slope and Y-intercept:

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

  • mm is the slope
  • bb is the y-intercept

From the equation:

  • The slope mm is 12\frac{1}{2}.
  • The y-intercept bb is 2.

Answering the Question:

  • Option A is correct: The slope of the line is 12\frac{1}{2}.

Let me know if you need further clarification or details on graphing the line!


Related Questions:

  1. How do you graph a line given its slope and y-intercept?
  2. What does a slope of 12\frac{1}{2} indicate about the line's steepness?
  3. What is the equation of a line parallel to this one?
  4. How do you find the x-intercept of the line from the equation?
  5. What would the slope be if the equation had a negative slope?

Tip: In slope-intercept form, the slope tells you how much the line rises or falls for every unit moved horizontally.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 8-10