The Slopes
S-I and P-S and Standard, Oh My!
Solve that System
Simply and Literal-ly Solving
Quick Evals
100

The slope of the line passing through (1, 3) and (4, -9)

-4

100

The general form of the equation y-3=2(x+1)

Point-Slope
100

4x-3y=3

x-3y= -6

(3,3)

100

-10-9(7m-6)

-63m+44

100

Find f(3) when f(x)=x+3.

f(3) = 6

200

The slope of a horizontal line

0

200

The slope of the line y=-2/3x+6

-2/3

200

y=3x-7

y=5x+3

(-5, -22)

200

-7(8-2r)+10

14r-46

200

Find f(-2) when f(x)=3x-3.

f(-2) = -9

300

The slope of the line passing through the points (-3, -1) and (7, -3)

-1/5

300

The point on the line shown by the equation y+5=3x

(0, -5)

300

y= -5/3x+2

y= -5/3x-1

No solution
300

u=a+k-b, solve for a

a=b-k+u

300

Find g(-4) when g(x)=2x/-2.

g(-4) = 4

400

The slope of a vertical line

Undefined

400

Write an equation in point-slope form that goes through the point (-2, 4) and has a slope of -1.

y-4 = -(x+2)

400

2x+5y=7

-6x-15y= -21

Infinitely many solutions

400

u=xy/k, solve for x

x=uk/y

400

Find f(1)-g(2) when f(x)=x+4 and g(x)=2x-3.

f(1)-g(2) = 4.

500

The slope of the line represented by the equation 4x-7y=14

4/7

500

Write the equation, in slope-intercept form, of the line that passes through the points (-2, 2) and (0, 8).

y=3x+8

500

-2x+y=3

3x-2y=3

(-9, -15)

500

n=hk/d, solve for d

d=hk/n

500

Find h(3)/g(3) when g(x)=5x and h(x)=x2. Simplify if necessary.

h(3)/g(3) = 3/5