Finding Slope Given Two Points
Find the y-Intercept
Equation Detective
Graph It in Your Head
Real-World Meaning
100
Find the slope of the line containing the points (2,5) (7,9)
What is 4/5
100

Line passes through (0, −3) and (4, 5)

-3

100

y = 3x − 4 

 Find slope and yint

m = 3
b = −4

100

Slope = 2, y-intercept = 1
 

Answer: (1,3)

100

Each hour, temperature rises 3°.

Slope =
Answer: 3

200
Find the slope of a line containing the following points (3,0) (3,4)
What is undefined
200

Line passes through (2, 1) and slope is 3

-5

200

y = −2x + 1.5

m = −2
b = 1.5

200

Slope = −3, y-intercept = −2

Answer: (1, −5)

200

Water drops 1.5 feet per minute. 

-1.5

300
Find the slope of the line containing the following points (3,5) (7,5)
What is 0
300

Slope = −2, passes through (−1, 4)

2

300

2y = 6x − 8

slope=3

yint=-4

300

Slope = 3/4, y-intercept = −1

Answer: (4, 2)

300

Starts at 10 gallons, loses 2 gallons per hour.

y=-2x+10

400
Find the slope of the line containing the following points (-2,5) (4,7)
What is 1/3
400

Slope = 3/4, passes through (8, −2)

−8

400

y − 3 = −4(x + 2)

y = −4x − 5
m = −4
b = −5

400

Slope = −2/3, y-intercept = 4

Answer: (3, 2)

400

Starts at −4 feet, rises 3/2 feet per second

y=3/2x -4

500
Find the slope of the line containing the following points (3,7) (5,2)
What is -5/2
500

Slope = −1/2, passes through (−6, 1/2)

−5/2

500

3x + 2y = −10

y = −3/2x − 5
m = −3/2
b = −5

500

Slope = −5/2, y-intercept = 3

Answer: (2, −2)

500

Line passes through origin and (−4, 10)

Slope= −5/2