Find the Equation of a Line Parallel to Another Line in PointSlope and SlopeIntercept Form  Summary and Q&A
TL;DR
Learn how to find a line's equation using pointslope and slopeintercept forms.
Key Insights
 😥 Pointslope form: yy1=m(xx1) with point and slope.
 Parallel lines have the same slope.
 💁♂️ Slopeintercept form gives y=mx+b, helpful for solving y.
Transcript
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Questions & Answers
Q: What is the pointslope form of a line and how is it used in finding the equation?
The pointslope form is yy1=m(xx1), where (x1,y1) is the point and m is the slope. Plug in these values to find the line's equation.
Q: Why does a parallel line have the same slope, and how does it help in finding the equation?
Parallel lines have identical slopes. Knowing the slope of a line parallel to the one given helps determine the slope of the line to be found.
Q: How does distributing the slope in the slopeintercept form help in solving for y?
Distributing the slope yields y+constant=slopex. By isolating y, you get y=slopex+constant, which is the slopeintercept form of a line.
Q: Why is it important to determine whether to use the pointslope or slopeintercept form in finding a line's equation?
Pointslope form is useful when a point and slope are given, while slopeintercept form is used when simplifying a line's equation to y=mx+b.
Summary & Key Takeaways

Pointslope form: yy1=m(xx1) with given point (x1,y1) and slope m.

Slope of parallel line is the same; use given point to plug into pointslope form.

Slopeintercept form: y=mx+b, solve for y by distributing slope and simplifying.