4.2 – 4.3 Review Alg 1

Point-Slope

100

Slope = 3/4

Point: (7,9)

y-9=3/4(x-7)

200

Point: (0,3)

Slope = 100

y-3=100(x-0)

y-3=100x

300

(1,4) & (9,-12)

y-4=-2(x-1)

y+12=-2(x-9)

400

(-1,3) & (-12,-8)

y-3=-(x-10)

y+8=-(x-1)

500

(0,0) & (10,4)

y-0=2/5(x-0)

y-4=2/5(x-10)

Slope-Intercept

100

Write the following equation in Slope-Intercept Form:

5x+y=13

y=-5x+13

200

Write the following equation in Slope-Intercept Form:

y-9=3(x-10)

y=3x-21

300

Write the following equation in Slope-Intercept Form:

6x+15+3y=0

y=-2x-5

400

Write the equation of the line with Slope=5 and goes through the point (8,7) in Slope-Intercept form.

y=5x-33

500

Write the equation of the line that goes through 

(3,4) & (5,10)

in Slope-Intercept form

m=6/2 = 3

y-4=3(x-3)

y=3x-5

Standard

100

Write the following equation in Standard Form:

y-2=6(x-0.5)

6x-y=1

200

Write the following equation in Standard Form:

y=-2x+10

2x+y=10

300

B=14

C=19

A=1

x+14y=19

400

Write the following equation in Standard Form:

2y+2=x-3

x-2y=5

500

(0,4) & (8,0)

x+2y=8

Intercepts

100

Find the x-intercept and y-intercept of the line with this equation:

y=4x-16

x-int = 4

y-int = -16

200

Find the x-intercept and y-intercept of the line with this equation:

y=10x+2

x-int = -1/5

y-int = 2

300

Find the x-intercept and y-intercept of the line with this equation:

5x+3y=30

x-int = 6

y-int = 10

400

Find the x-intercept and y-intercept of the line with this equation:

y-1+4x+7=0

x-int = -6

y-int = -6/4 or -3/2

500

Find the x-intercept and y-intercept of the line with this equation:

2x-2y=100

x-int = 50

y-int = -50

Word Problems

100

A bike may be rented for $3/hour and $10 upfront. 

y=3x+10

200

Gym membership costs $15/month, $25 upfront

y=15x+25

300

Paying off a $30,000 debt $1,000 each month. 

y=-1000x+30000

y=1000x-30000

400

How much water will be in the tank in 8 minutes if it has 40 gallons right now and is filling at a rate of 3.5 gallons per minute?

y=3.5x+40

y=3.5(8)+40 ->28+40

68 gallons

500

If you have $100 dollars in your bank account right now, and you save $50 per month, how long will it take until there is $500 in your account?

y=50x+100

500=50x+100 -> 400=50x

8 months