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Vilka [71]
3 years ago
14

What is the slope of the line that passes through (3,-7) and (-1,1)

Mathematics
2 answers:
Yanka [14]3 years ago
8 0
-2 is the slope of the line

Tanya [424]3 years ago
7 0
Remark
Line slopes are found with the formula
m = (y2 - y1)/(x2 - x1)

Givens
y2 = 1
y1 = - 7
x2 = -1
x1 = 3

Sub and solve
m = (1 - - 7) / (-1 - 3)
m = (1 + 7) / -4
m = 8 / - 4
m = - 2
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Can someone please explain how to do this problem?
GarryVolchara [31]
For x= -1, find -1 on the x axis and draw a vertical line. For y=6, look for 6 on the y axis and draw a horizontal line.
3 0
4 years ago
Read 2 more answers
Arrange the pairs of points in increasing order of slopes of the lines joining them
sladkih [1.3K]

Answer:

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

m=\dfrac{y_2-y_1}{x_2-x_1}

a) (15,30) and (20,40).

m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2

Similarly find the slope of other lines.

b) (12,32) and (18,48).

m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67

c) (27,12) and (72,32).

m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44

d) (45,15) and (60,20).

m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33

e) (27,2) and (243,18).

m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074

f) (18,63) and (24,84).

m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5

g) (63,9) and (84,12).

m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143

After arranging the slopes in increasing order, we get

m_e

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

7 0
3 years ago
(5,6) and (−5,12) what is the rate of change??
Veseljchak [2.6K]

Answer:

- 0.6

Step-by-step explanation:

Start point: (5,6)

End point: (-5,12)

rate of change = (12-6) / (-5-5) = 6/-10 = - 3/5 = - 0.6

4 0
3 years ago
Read 2 more answers
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
PilotLPTM [1.2K]

Answer:

74

Step-by-step explanation:

x^2 - 3y + 5x + 2  \\  \\  =  {7}^{2}  - 3(4) + 5(7) + 2 \\  \\  = 49 - 12 + 35 + 2 \\  \\  = 74

4 0
3 years ago
What is the 30th term of the linear sequence below?<br><br> -5,-7,-9,-11,-13....
adelina 88 [10]

Answer:

-63

Step-by-step explanation:

This arithmetic progression

The formula is a+(n-1)d

a means the first value

n is the nth term

d is the difference

So a is -5

n is 30

d is -2

So let's substitute

-5+(30-1)-2

-5+(29)-2

-5-58

-63

Therefore the final answer is-63

Just follow the step and the general formula, you will get your final answer

3 0
3 years ago
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