Identifying Linear Functions
The name of a function whose graph forms a straight line
What is a linear function
The number you would multiply by to change to standard form
1/2x+3/2y=4
What is 2
Find the inverse of the relation
{(1, 2) (3, 4) (5, 0)}
{(2, 1) (4, 3) (0, 5)}
Find the equation in slope-intercept form of the line with slope 3 that contains the point (1, -4)
What is y = 3x - 7
Write the linear equation in point slope form: Slope=-7 ; (4,2)
y-2 = -7(x -4)
Standard Form of a linear equation
What is Ax+By=C
The number you would multiply by to change to standard form?
-2x+3y=-8
-1
Find the inverse of the function f(x)=2x-4
f-1(x)=1/2x+2
Write the equation in slope intercept form: slope=0, y intercept =-5
What is y=-5
Lines that have the same slope are called...
parallel lines
Change the function into standard form of linear equation: y=x+3
What is x-y=-3
Change to standard form: y-1=2(x+3)
What is 2x-y=5
Find the inverse of the function
f(x)=(x-5)/4
What is
f^-1(x)=4x+5
Write the equation in slope intercept form: (-1, 6) and (2,5) is on the line
What is
y=-1/3x+17/3
Change to slope intercept form:
y+3=-1/2(x-3)
What is
The equation of the line through (1, 1) and (1, 7)
What is x=1
Change to standard form: y=-0.5x+7
What is x+2y=14
Find the inverse of
f(x)=3/4x+5/4
What is
f^-1(x)=4/3x-5/3
Change to slope-intercept form: 4x+3y=6
What is
y=-4/3x+2
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1)
Slope intercept: y=-4x -6
The slope of a horizontal line?
What is Zero
Change to standard form
y+2=-3/4(x-2)
What is 3x + 4y = -2
Find the slope of the inverse function of f(x)=2x+8
What is 1/2
Write the equation in slope intercept form of the line perpendicular to x+2y=8 and containing the point (1, 3)
What is y = 2x + 1
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y-2=3 (x-3) or y+4=3(x-1)
slope intercept: y=3x -7