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| How do you find the slope of the line passing through the pair of points? |
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Definition
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| What is the Slope Formula? |
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Definition
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| How do you look at a pair of points using ABCD variables? |
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Definition
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What is Slope Formula when using ABCD variables to represent a pair of points in this form?
(A,B) (C,D) |
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Definition
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| When does a line rise from left to right? |
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Definition
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| When does a line fall from left to right? |
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Definition
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| When is a line horizontal? |
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Definition
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Definition
| When the Slope is Undefined |
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| When given the graph of a line how do you find the slope? |
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Definition
1.)Find a pair of points on the line
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2.)Use Slope Formula or Change of "Y" Over Change of "X".
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| What is the Point-Slope Form Equation of a Line? |
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Definition
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| How do you put a Point-Slope Form equation into slope intercept form? |
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Definition
1.)Distribute the Left Side
y-y1=m(x-x1)
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2.)This Becomes...
y-y1=mx-mx1
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2.)Add "y1" to Both Sides
y=mx-mx1+y1
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| How do you graph something in slope-intercept form? |
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Definition
1.)Break down what the formula means.
y=Slope+Y Intercept
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2.) Graph the Y Intercept First
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3.) Then apply the change in "Y" followed by the change in "X".
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| How do you find the equation of a line with a pair of points? |
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Definition
1.)Use Slope Formula to find the Slope.
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2.)Use Point Slope Form
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3.)Put it in Slope Intercept Form
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Term
What is shortcut to finding the equation of a line with a pair of points in this form?
(A,B) (C,B) |
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Definition
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How do you write the equation of line in slope intercept form when given two points?
(A,B) (C,D) |
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Definition
1.)Use Slope Formula to Find the Slope
((D-B)/(C-A))=Slope
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2.)Now substitute slope and one point into point slope form.
y-B=((D-B)/(C-A))(x-A)
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3.)Distribute the Left Side
y-B=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)
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4.)Solve for "y" by adding "B" to both sides
y=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)+B
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What is a Shortcut to writing the equation of line in slope intercept form when given two points?
(A,B) (C,D) |
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Definition
1.)y=((D-B)/(C-A))*x)+((D-B)/(C-A))*-A)+B
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How do you find the equation of a vertical line that goes through this point?
(A,B) |
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Definition
1.) The equation is:
x=A
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How do you find the equation of a horizontal line that goes through this point?
(A,B) |
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Definition
1.) The equation is:
y=B
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How do you write an equation in slope intercept form with this information?
x-intercept=-A
y-intercept=A^2 |
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Definition
1.)The Equation in Slope-Intercept Form is:
y=Ax+A^2
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How do you write an equation in slope intercept form with this information?
x-intercept=-A
y-intercept=A*2 |
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Definition
1.)The Equation in Slope-Intercept Form is:
y=((A*2)/A)x+A*2
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Term
How do you write an equation in slope intercept form with this information?
x-intercept=A
y-intercept=B |
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Definition
1.)Understand that you have two points
(A,0) and (0,B)
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2.)Use Slope Formula to Find the Slope
(B-0)/(0-A)
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3.)This Becomes...
(B)/(-A)
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4.)Put it in Point Slope Form
y-0=(B)/(-A)(x-A)
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5.)This Should Become...
y=(B)/(-A)(x-A)
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6.)Distribute the Right Side
y=((B)/(-A)*x)+((B)/(-A)*-A)
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7.)Your Solution is
y=((B)/(-A)*x)+(B)
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Term
What is a Shortcut to writing an equation in slope intercept form with this information?
x-intercept=A
y-intercept=B |
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Definition
1.)Your Solution is
y=((B)/(-A)*x)+(B)
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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 |
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Definition
1.)The Equation of the Line is:
y=B
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How do you find an equation of the line passing through the points:
(A,B), (C,D), and (-1,F) |
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Definition
1.)The Equation is this:
y=x+(B-A)
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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.
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| How do you determine if equations of two lines are parallel, Perpendicular, or Neither? |
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Definition
1.)Two non-vertical lines are parallel if and only if their slopes are equal and they have different y-intercepts.
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2.)Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.
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How do you find the slope of a line of an equation in standard form?
Ax+By=C |
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Definition
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How do you find the y-intercept of a line of an equation in standard form?
Ax+By=C |
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Definition
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How do you write the slope of a line perpendicular to this one:
Ax+By=C |
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Definition
1.)The slope of the perpendicular line must be:
(B/A)
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How do you write the slope of a line perpendicular to this one:
Ax-By=C |
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Definition
1.)The slope of the perpendicular line must be:
-(B/A)
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Definition
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Definition
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How do you write the slope of a line perpendicular to this one:
Ax+By=C
That Passes Through Points
(D,-E) |
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Definition
1.)Your Solution is:
y=((B/A)x)+(((B/A)*-D)-E)
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Term
How do you write the slope of a line perpendicular to this one:
Ax+By=C
That Passes Through Points
(D,E) |
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Definition
1.)Your Solution is:
y=((B/A)x)+(((B/A)*-D)+E)
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Term
How do you write the slope of a line perpendicular to this one:
Ax+By=C
That Passes Through Points
(-D,-E) |
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Definition
1.)Your Solution is:
y=((B/A)x)+(((B/A)*D)-E)
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Term
How do you write the slope of a line perpendicular to this one:
Ax+By=C
That Passes Through Points
(-D,E) |
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Definition
1.)Your Solution is:
y=((B/A)x)+(((B/A)*D)+E)
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