Anatomy of a Linear Function
In y=mx+b, what does m represent?
Slope!
y=2x-4
Write the equation of this line shifted ten units up. (Simplify!)
y=2x+6
Write this in slope-intercept form.
y=6x-9
y=5x
Write the inverse in the form of "y=___"
y=(x/5)
Write the equation of the horizontal line passing through (3,3).
y=3
Where does y=4x+29 intersect the y-axis?
y=3x+9
Write the equation of this line shifted two units to the right. (Simplify!)
y=3(x-2)+9
y=3x-6+9
*y=3x+3*
y=-(3/2)x-(7/2)
Write this in standard form with integer coefficients.
3x+2y=-7 (or some multiple of this)
y=4x+2
Write the inverse in the form of "y=___"
y=(x/4)-(1/2)
Write the equation of the vertical line passing through (-5,2).
x=-5
Ax+By=C is called what form?
Standard Form!
y=-4x+7
Write the equation of this line if it were half as steep, retaining the same y-intercept. (Simplify!)
y=-2x+7
What is the slope of this linear function?
7/8
What is the line that represents the mirror that inverses flip around?
y=x
4x-6y=10
y=((4-1)/(3-1))(x-2)
3y=2(x+1)
y=-(3/2)x+7
Which two lines are parallel and why?
4x-6y=10 ; 3y=2(x+1)
The slope for each works out to (2/3).
What would we add to y=x if we only wanted to consider x values greater than zero?
{x>0}
y=-5x+1
Write the equation of this line shifted three units down and seven units to the left. (Simplify!)
y=-5(x+7)+(1-3)
y=-5x-35-2
*y=-5x-37*
Find the slope-intercept form of the line passing through (4,2) and (6,-3).
y=-(5/2)x+12
y=-(x/3)-9
Write the inverse in the form of "y=___"
y=-3x-27
Write the equation perpendicular to y=7x+2 passing through the origin.
y=-(x/7)
The "zero" of the function!
y=x ---> y=3(x-2)+4
Describe the three transformations that happened to the parent function y=x.
Stretched by a factor of three, shifted to the right two units, shifted up four units.
Find the standard form of the line passing through (1,3) and (3,7).
-2x+y=1 (or some multiple of this)
y=8(x-3)+2
Write the inverse in the form of "y=___"
y=(x/8)+(11/4)
Name any three points that fall on the line passing through (-5,6) and (20,-4). (Other than the two given points, of course!)