Point-Slope Form: Quick Intro

The LARGE POINT (left) and sliders (right) are moveable. Interact with this app for a few minutes. Then answer the questions that follow.
What do you notice here? Be specific!
What is the equation of the line shown here? [br][img width=280,height=280]https://lh5.googleusercontent.com/wBdzFeM_mRlV5LFe54H5q5jPGpOuTz1fklw8sfyaxAst87qoklVBazXDpo5wcuJ-4vtKd3ada7aspf-nXfEk71HlS1pQAxsEbHI7BpqcrE5hTckxqAcUJLku0PBlSwUTnj5kgZkL[/img]
What is the equation of the line shown here? [br][img width=285,height=285]https://lh3.googleusercontent.com/u8OC2xZm5vpA3iqQ4Lw_1m67SEoCGeF1-tzB9Ws0X9XixddtCAx_r4p5zeGf6ZCDxRO6_XGVFCvQ_HahABNIDzRfpKAYmOmZ3muVUYlyjK0WARMLl--p1IXpasEAb4fyADBkuuj9[/img]
What is the equation of the line shown here? [br][img width=285,height=253]https://lh3.googleusercontent.com/RcHpkbbJ0-eE5sNtJy_phX2sduf8eD2LpNERlNAHvcjOKuECGhPiNe72ifuuuc7b1cGdjRAeKDfVhcQB_84MlHPWf_aPkW2jpZX0F5SKkwLiQbMOWdpmqscsUh5ttVC3mxskbhUK[/img]
What is the equation of the line shown here? [br][img width=277,height=230]https://lh6.googleusercontent.com/gjAhtynMwCCseicHyxmCpX0D5E4jRac2hbmlJ5mzhAVb_jfUT1vdVrsSgcnjdtjRuLRlaOwUSgliigPAaF9OxDFJgNaO8CHJdLp09NWgHjLIiU7N_vhGrfBL-WA2p4ltnxAQgz96[/img]
Through which point [math]\left(x,y\right)[/math] does the line [math]y-4=\frac{3}{2}\left(x+2\right)[/math] pass through?
How would you write the equation of the line with slope [math]-\frac{5}{6}[/math] that passes through the point [math]\left(2,7\right)[/math]?
How would you write the equation of the line with slope [math]-\frac{5}{6}[/math] that passes through the point [math]\left(-2,7\right)[/math]?
How would you write the equation of the line with slope [math]-\frac{5}{6}[/math] that passes through the point [math]\left(2,-7\right)[/math]?
How would you write the equation of the line with slope [math]-\frac{5}{6}[/math] that passes through the point [math]\left(-2,-7\right)[/math]?
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Information: Point-Slope Form: Quick Intro