Slope Intercept, Point-Slope and Standard Form Review!

Slope-Intercept Form

100

Line has a slope of -3 and passes through, (0,9)

y = -3x+9

200

Rewrite in Slope-Int Form y-11=1/2(x+5)

y = 1/2x+27/2

300

Line through (9,4) and (0,10)

y = -2/3x+10

400

Line has a slope of 0 and passes through; (8,-5)

y = -5

500

Line parallel to y-3=-5(x-2) and through the point (-6,1).

y = -5x-29

Point-Slope Form

100

Identify a point on the line and the slope of the line in the equation: 

y - 6 = 2(x + 4)

Point: (-4,6) Slope: 2

200

Slope = undefined

Point = (-6,2)

x=-6

300

(9,7) and (4,5)

y - 7 = 2/5 (x - 9)  or      

y - 5 = 2/5(x - 4)

400

Perpendicular to 

y-2=1/3(x+5) through (-1,8)

y-8 = -3(x+1) 

500

x-intercept (-4,0) and y-intercept (0,5)

y-5=5/4(x-0) or y-5=5/4x

y-0=5/4(x+4) or y=5/4x+5

What's my slope?

100

(12,8) and (4,3)

5/8

200

The slope of a line perpendicular to 5x+3y=10

3/5

300

(-2,7) and (4,7)

0

400

(0,4) and (0,7)

Undefined

500

4x+7y=-10

4/7

Standard Form

100

y-2=8(x-3)

8x-y=22

200

y+17=-3(x-1)

3x+y=-14

300

x-intercept (3,0) and y-intercept (0,-9)

3x-y=9

400

Parallel to y+2=1/6(x-3) through (-2,5)

x-6y=-32

500

Perpendicular to 5x+3y=12 through the point (-1,10)

3x-5y=-53