# Shared Flashcard Set

## Details

2-Precalculus:Homework:2.3:Notes
2-Precalculus:Homework:2.3:Notes
35
Mathematics
02/06/2016

Term
 How do you find the slope of the line passing through the pair of points?
Definition
 1.)Use Slope Formula---
Term
 What is the Slope Formula?
Definition
 (y2-y1)/x2-x1)=Slope
Term
 How do you look at a pair of points using ABCD variables?
Definition
 (A,B) (C,D)
Term
 What is Slope Formula when using ABCD variables to represent a pair of points in this form?(A,B) (C,D)
Definition
 (D-B)/(C-A)
Term
 When does a line rise from left to right?
Definition
 When Slope is Positive
Term
 When does a line fall from left to right?
Definition
 When Slope is Negative
Term
 When is a line horizontal?
Definition
 When Slope Equals Zero
Term
 When is a line vertical?
Definition
 When the Slope is Undefined
Term
 When given the graph of a line how do you find the slope?
Definition
 1.)Find a pair of points on the line---2.)Use Slope Formula or Change of "Y" Over Change of "X".----
Term
 What is the Point-Slope Form Equation of a Line?
Definition
 1.)y-y1=m(x-x1)---
Term
 How do you put a Point-Slope Form equation into slope intercept form?
Definition
 1.)Distribute the Left Sidey-y1=m(x-x1)---2.)This Becomes...y-y1=mx-mx1---2.)Add "y1" to Both Sidesy=mx-mx1+y1---
Term
 How do you graph something in slope-intercept form?
Definition
 1.)Break down what the formula means.y=Slope+Y Intercept---2.) Graph the Y Intercept First---3.) Then apply the change in "Y" followed by the change in "X".---
Term
 How do you find the equation of a line with a pair of points?
Definition
 1.)Use Slope Formula to find the Slope.---2.)Use Point Slope Form--- 3.)Put it in Slope Intercept Form---
Term
 What is shortcut to finding the equation of a line with a pair of points in this form?(A,B) (C,B)
Definition
 1.)y=B---
Term
 How do you write the equation of line in slope intercept form when given two points?(A,B) (C,D)
Definition
 1.)Use Slope Formula to Find the Slope((D-B)/(C-A))=Slope---2.)Now substitute slope and one point into point slope form.y-B=((D-B)/(C-A))(x-A)---3.)Distribute the Left Sidey-B=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)---4.)Solve for "y" by adding "B" to both sidesy=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)+B---
Term
 What is a Shortcut to writing the equation of line in slope intercept form when given two points?(A,B) (C,D)
Definition
 1.)y=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)+B---
Term
 How do you find the equation of a vertical line that goes through this point?(A,B)
Definition
 1.) The equation is:x=A----
Term
 How do you find the equation of a horizontal line that goes through this point?(A,B)
Definition
 1.) The equation is:y=B---
Term
 How do you write an equation in slope intercept form with this information?x-intercept=-Ay-intercept=A^2
Definition
 1.)The Equation in Slope-Intercept Form is:y=Ax+A^2----
Term
 How do you write an equation in slope intercept form with this information?x-intercept=-Ay-intercept=A*2
Definition
 1.)The Equation in Slope-Intercept Form is:y=((A*2)/A)x+A*2---
Term
 How do you write an equation in slope intercept form with this information?x-intercept=Ay-intercept=B
Definition
 1.)Understand that you have two points(A,0) and (0,B)---2.)Use Slope Formula to Find the Slope(B-0)/(0-A)----3.)This Becomes...(B)/(-A)----4.)Put it in Point Slope Formy-0=(B)/(-A)(x-A)---5.)This Should Become...y=(B)/(-A)(x-A)---6.)Distribute the Right Sidey=((B)/(-A)*x)+((B)/(-A)*-A)----7.)Your Solution isy=((B)/(-A)*x)+(B)---
Term
 What is a Shortcut to writing an equation in slope intercept form with this information?x-intercept=Ay-intercept=B
Definition
Term
 How do you find the equation of the line that contains the given point and is parallel to the given line?Given Point: (A,B)Line: y=-C
Definition
 1.)The Equation of the Line is:y=B---
Term
 How do you find an equation of the line passing through the points:(A,B), (C,D), and (-1,F)
Definition
 1.)The Equation is this:y=x+(B-A)---2.)To determine if the point (-1,F) is on the line: F=-1+(B-A)If the statement is true then yes.If not then no.---
Term
 How do you determine if equations of two lines are parallel, Perpendicular, or Neither?
Definition
 1.)Two non-vertical lines are parallel if and only if their slopes are equal and they have different y-intercepts.---2.)Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.---
Term
 How do you find the slope of a line of an equation in standard form?Ax+By=C
Definition
 Slope Equals (-A/B)
Term
 How do you find the y-intercept of a line of an equation in standard form?Ax+By=C
Definition
 Y-Intercept Equals (C/B)
Term
 How do you write the slope of a line perpendicular to this one:Ax+By=C
Definition
 1.)The slope of the perpendicular line must be:(B/A)---
Term
 How do you write the slope of a line perpendicular to this one:Ax-By=C
Definition
 1.)The slope of the perpendicular line must be:-(B/A)---
Term
 What is (A/B)*C?
Definition
 (AC/B)
Term
 What is (A/B)-C?
Definition
 ((A-CB)/B)
Term
 How do you write the slope of a line perpendicular to this one:Ax+By=CThat Passes Through Points(D,-E)
Definition
Term
 How do you write the slope of a line perpendicular to this one:Ax+By=CThat Passes Through Points(D,E)
Definition