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:
Finding the Slope and Y-intercept:
This is in the slope-intercept form , where:
- is the slope
- is the y-intercept
From the equation:
- The slope is .
- The y-intercept is 2.
Answering the Question:
- Option A is correct: The slope of the line is .
Let me know if you need further clarification or details on graphing the line!
Related Questions:
- How do you graph a line given its slope and y-intercept?
- What does a slope of indicate about the line's steepness?
- What is the equation of a line parallel to this one?
- How do you find the x-intercept of the line from the equation?
- 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