Use Words
m=(y2-y1)/(x2-x1)
slope is equal to the change in y divided by the change in x
What is the slope-intercept form?
y=mx+b
What is the standard form?
Ax+By=C
What is the point-slope form?
y-y1=m(x-x1)
Convert to standard form
y=-2x + 5
2x + y = 5
( (x1+x2)/2 , (y1+y2)/2 )
What is the midpoint formula?
or
(average x, average y) is the midpoint of the segment with the endpoints of (x1, y1) and (x2, y2)
What does each variable in the equation mean?
y=mx+b
y is the y coordinate
x is the x coordinate
m is slope
b is the y-intercept
How can you find the x and y intercepts using the standard form?
What is the "cover up" method?
Give a point on the line and the slope of the line whose equation is below.
y-2 = 3(x+5)
m=3
and (-5, 2)
Convert to slope intercept
2x+3y=-6
y = -2/3x -2
d=sqrt[(change in x)2 + (change in y)2]
What is the distance formula?
What are the three ways to find/think about slope?
rise/run
(y2-y1) / (x2 - x1)
(change in y) / (change in x)
Write y=-2/3 x +10 in standard form.
2x+3y=10
Write the equation of the line that contains the points (5,0) , (3,1)
in point-slope form.
y+0 = -1/2(x-5)
or y-1 = -1/2(x-3)
Convert to slope intercept
y-3 = 6/5(x-5)
y= 6/5x - 3
line 1: m=-5
line 2: m=-5
line 1 is parallel to line 2
Write the equation of the line that contains the
point (3, -2) and has the slope m=-2
in slope intercept form
y= -2x +4
Calculate the slope and intercepts for
2x+5y=10
slope: -2/5
x-intercept: (5,0)
y-intercept: (0,2)
Write the equation of the line that contains the points (5, -4) , (-1, -1)
in point-slope form.
y+4 = -1/2 (x-5)
or
y+1 = -1/2 (x+1)
Convert to slope intercept
y-8 = 3/4 (x+12)
y-8 = 3/4x + 9
y = 3/4x + 17
line 1:m=2
line 2: m=-1/2
line 1 is perpendicular to line 2
Write equation of the line that contains the ordered pairs
(2,5) , (-4,13)
in slope-intercept form
slope: -4/3
b: 23/3
y = -4/3x + 23/3
What are the 4 constraints of standard form?
(related to the A, B, C)
A must be positive
A, B, C must be integers
A and B can not be zero
LCM
What is the ordered pair of the equation?
y - 3 = 7/8 (x+2)
(-2 , 3)
Convert to standard form
y+4 = -5/2(x-2)
5x+2y=2