What Is the Equation of a Line Inclined at 130 Degrees Through (0,2)?

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Homework Help Overview

The problem involves finding the equation of a line that is inclined at 130 degrees and passes through the point (0,2). The context is within a mathematics course, specifically math analysis, which precedes calculus.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the general form of the equation of a line and the relationship between slope and angle. Some suggest visualizing the line to aid understanding, while others question the definition of slope in relation to the angle of inclination.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the relationship between slope and angle, but no consensus has been reached on the approach to take.

Contextual Notes

Participants note that the only information provided is the inclination angle and the point through which the line passes. There is an assumption that the equation will be in the "y=mx+b" format, but clarity on the slope's definition is being sought.

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Homework Statement



find the equation of the line with the inclination 130 degrees going through point (0,2)

Homework Equations


The Attempt at a Solution



baffled at how to start...

thanks!
 
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What do you know about the equation of a line?
 
Maybe drawing it 1st will give you an idea of what the equation should be.

A line of inlcination 180[tex]\cdot[/tex] going through (0,2) would have the equation: y = 2
 
What is the slope of the line?
 
for the past two days, I couldn't enter this site...

thanks, for the equation, this is all the information given...I assume it will be in a "y=mx+b" format, but I am not sure. also the slope has to be a 130 degree angle with the horizontal axis (I believe the x axis)...

if it helps, the class is math analyst, which is the one before calculus...

thanks!
 
No, the "slope" of a line, in this sense, is NOT the angle it makes with the x-axis, it is the tangent of that angle. Now, how is that "slope" connected with y= mx+ b?
 

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