The Slopes
The slope of the line passing through (1, 3) and (4, -9)
-4
The general form of the equation y-3=2(x+1)
4x-3y=3
x-3y= -6
(3,3)
-10-9(7m-6)
-63m+44
Find f(3) when f(x)=x+3.
f(3) = 6
The slope of a horizontal line
0
The slope of the line y=-2/3x+6
-2/3
y=3x-7
y=5x+3
(-5, -22)
-7(8-2r)+10
14r-46
Find f(-2) when f(x)=3x-3.
f(-2) = -9
The slope of the line passing through the points (-3, -1) and (7, -3)
-1/5
The point on the line shown by the equation y+5=3x
(0, -5)
y= -5/3x+2
y= -5/3x-1
u=a+k-b, solve for a
a=b-k+u
Find g(-4) when g(x)=2x/-2.
g(-4) = 4
The slope of a vertical line
Undefined
Write an equation in point-slope form that goes through the point (-2, 4) and has a slope of -1.
y-4 = -(x+2)
2x+5y=7
-6x-15y= -21
Infinitely many solutions
u=xy/k, solve for x
x=uk/y
Find f(1)-g(2) when f(x)=x+4 and g(x)=2x-3.
f(1)-g(2) = 4.
The slope of the line represented by the equation 4x-7y=14
4/7
Write the equation, in slope-intercept form, of the line that passes through the points (-2, 2) and (0, 8).
y=3x+8
-2x+y=3
3x-2y=3
(-9, -15)
n=hk/d, solve for d
d=hk/n
Find h(3)/g(3) when g(x)=5x and h(x)=x2. Simplify if necessary.
h(3)/g(3) = 3/5