Slope/Line
FOIL
Solve for X
Solve Level 2
Transformations
100
What is the slope of a line passing through the points (2, 4) and (4, 6)?
1
100
(x + 1) (x + 2)
x2 + 3x + 2
100
Solve for x: x + 2 = 10
x = 8
100

Solve: x2-14x-32=0

16, -2

100

y=(x+4)3-9

4 units left, 9 units down

200

What is the point-slope form of a line passing through the points (0, 0) and (3, 30)?

y-30=10(x-3)

200
(x - 4) (x + 3)
x2 - x - 12
200

Solve for x: 4x2 - 2 = 14

x = 2, -2

200

Sqrt(2x+3)-7=0

23

200

y=-|x-5|+15

Flipped x axis, 5 units right, 15 units up

300

What is the slope-intercept form of the line that passes through (0, 7) and (-1, 6)

y=x+7

300
(2x + 1) (3x + 4)
6x2 + 11x + 4
300
Solve for x: 2x + 3 = x - 6
x = -9
300

2x2=-8

2i, -2i

300

y=sqrt(x+22)-10

22 units left, 10 units down

400
What is the slope of a line passing through the points (3, -2) and (4, 5)?
7
400
(4x - 3) (2x + 3)
8x2 + 6x - 9
400
Solve for x: 3x + 6 = x + 10
x = 2
400

x2+4x-45=0

-9, 5

400

y=2(x-6)8+4

Narrower, 6 units right, 4 units up
500
What is the slope of a line passing through the points (-6 ,-6) and (-3, 1)?
7/3
500
(3x - 5) (3x - 4)
9x2 - 27x + 20
500

Solve for x: x2 - 5 = 20

x = 5, -5

500

|3x-2|-4=3

3, -5/3

500

y=-(x-9)1/3+2

Flipped on x axis, 9 units right, 2 units up

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