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
Are these lines parallel, perpendicular, or neither?
Neither
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
What are the 4 rules of standard form?
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 slope intercept
2x+3y=-6
y = -2/3x -2
Are these lines parallel, perpendicular, or neither?
Parallel
What are the three ways to describe how to find slope?
Hint: Formula, R/R, Change/Change
rise/run
(y2-y1) / (x2 - x1)
(change in y) / (change in x)
What are the formulas to calculate: slope, y-intercept, and x-intercept?
slope: -A/B
y-intercept: C/B
x-intercept: C/A
Write in point slope (5,0) , (3,1)
y+0 = -1/2(x-5)
Convert to slope intercept
y-3 = 6/5(x-5)
y= 6/5x - 3
Are these lines parallel, perpendicular, or neither?
Perpendicular
Write in slope intercept form
(3, -2) m=-2
y= -2x +4
Calculate the slope and intercepts for
2x+5y=10
slope: -2/5
x-intercept: (5,0)
y-intercept: (0,2)
(5, -4) , (-1, -1)
y+4 = -1/2 (x-5)
Convert to slope intercept
y-8 = 3/4 (x+12)
y-8 = 3/4x + 9
y = 3/4x + 17
Find the equation of a line parallel to y=−73x+2 and passing through (−15,71)
y−y0=m(x−x0)
y−71=−7/3(x−(-15))
y−71=−7/3(x+15)
y−71=−7/3x−35
y−71+71=−7/3x−35+71
y=−7/3x+36
Write the ordered pairs in slope-intercept form
(2,5) , (-4,13)
slope: -4/3
b: 23/3
y = -4/3x + 23/3
In what type of word problems do you use standard form?
When the problem relates to two different objects.
What type of word problems use point slope form?
Word problems where you are given a point and the rate of change OR where you are given two separate points.
Convert to standard form
y+4 = -5/2(x-2)
5x+2y=2
What is the equation of the line perpendicular to y−2x=3 and passing through the point (2, 5)?
y−h=m(x−k) Equation
y−(5)=−1/2(x−2)
y−(5)=−1/2x+1 || Distributed the −1/2 to the x and −2 term.
y=−1/2x+6 Added the 5 from the left side.