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
in this problem we have to find the equation of the line given some information in pointslope form and slopeintercept form so first start by writing down the pointslope form of a line so the formula the pointslope formula is y minus y1 equals m parenthesis x minus x1 so all we have to do is figure out our point x1 y1 and our slope which is m so... Read More
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.