Math Problem Statement
Write the equation of a line parallel to and with a y-intercept of 2.
Solution
To write the equation of a line parallel to another, we need the slope of the given line. However, since you haven't provided the original line equation, I'll explain the general approach.
The equation of a line is typically written in slope-intercept form: where:
- is the slope of the line, and
- is the y-intercept.
Steps:
- Find the slope of the original line: For two lines to be parallel, they must have the same slope. So, we would take the slope from the original line's equation.
- Use the y-intercept: You've specified that the y-intercept is 2, meaning .
Thus, if the slope is known, the equation of the parallel line would be:
Please provide the original line equation if you need the specific slope.
Would you like more details or have any other questions?
Related questions:
- What is the slope of a line, and how do you find it from an equation?
- How do you write the equation of a line given two points?
- What is the difference between parallel and perpendicular lines in terms of slopes?
- How do you convert a line equation from standard form to slope-intercept form?
- How do you find the point of intersection between two lines?
Tip: Parallel lines always have the same slope but different y-intercepts unless they are the same line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Parallel Lines
Formulas
y = mx + b
Theorems
Parallel lines theorem: Parallel lines have equal slopes.
Suitable Grade Level
Grades 8-10
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