y=mx+b
Equations
Graphs
Slope and Y-Intercept
100

Sara currently has $1 in her piggy bank. Her parents have agreed to give her $.60 per week for doing her chores.

y=0.6x (3/5) + 1

100

Kevin is already 240 meters down the trail when John enters the trail. Kevin is walking the trail at a constant rate of 20 meters per minute.

y = 20x + 240

100

Graph the following two equations on your graph sheet of paper:

y =60x 

y = 20x + 240

What is their solution point?

(6, 360)
100

What is the slope and y-intercept:

y = 10x -12

m=10

b=-12

200

Kim currently has $2.20 in her piggy bank. Her parents have agreed to give her $.20 per week for doing her chores.

y=0.2x (1/5) + 2.20

200

Bird A is currently 500 feet in the air and is descending at a constant rate of 75 feet per minute.

y = -75x + 500

200

Graph the following two equations on a graph sheet of paper:

y = 15x + 10

y = 5x + 40

What is their solution point? 

(3, 55)

200

What is the slope and y-intercept:

y = 5 + 3x

m=3

b=5

300

Gerry’s Gym charges new members a one time registration fee of $10 and then $15 per month.

y = 15x + 10

300

Bird B, who is originally 100 feet in the air, begins to increase in altitude at a constant rate of 25 feet per minute.

y =25x + 100

300

Graph the following two equations on your graph sheet of paper:

y = -75x + 500

y= 25x + 100 

What is their solution point?

(4, 200)

300

What is the slope and y-intercept:

y = 3/5x + 1

m= 3/5

b= 1

400

Frank’s Fitness Gym charges new members a one time registration fee of $40 and then $5 per month.

y = 5x + 40

400

Train A is 750 miles away and is traveling toward your

city at a constant speed of 75 mph.

y = -75x + 750

400

Graph the following two equations on your graph sheet of paper:

y = -75x +750

y = 50x

What is their solution point?

(6, 300)

400

What is the slope and y-intercept:

y - x = 10

m=1

b=10

500

John jogs at a constant rate of 60 meters per minute.

y = 60x

500

Train B leaves your city at a constant

speed of 50 mph.

y = 50x

500

Graph the following two equations on a graph sheet of paper:

y = 3/5x + 1

y = 1/5x + 2.20

(3, 2.80)

500

What is the slope and y-intercept:

y = -2.5x - 11

m = -2.5

b= -11

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