Find the missing value so that the two points have a slope 1/2 (7, 2 )and (3,y)
2 answers:
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Answer: The answer is either letter A or letter C
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
-1
5
= -0.2
θ =
arctan( ΔY ) + 360°
ΔX
= 348.69006752598°
ΔX = 5 – -5 = 10
ΔY = -3 – -1 = -2
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -0.2x – 2
or
y =
- 1 x
5
– -2
When x=0, y = -2
When y=0, x = -10
...............................................................................................................................................
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
5
-1
= -5
θ =
arctan( ΔY ) + 180°
ΔX
= 101.30993247402°
ΔX = -3 – -1 = -2
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -5x – 10
When x=0, y = -10
When y=0, x = -2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
Step-by-step explanation: This is the picture, I graphed it
Center: (0, 0)
Angle: 0 rad
Opacity: 1
Width: 10
Height: 6.8
Answer:
There are 13 families had a parakeet only
Step-by-step explanation:
* Lets explain the problem
- There are 180 families
- 67 families had a dog
- 52 families had a cat
- 22 families had a dog and a cat
- 70 had neither a cat nor a dog, and in addition did not have a
parakeet
- 4 had a cat, a dog, and a parakeet (4 is a part of 22 and 22 is a part
of 67 and 520
* We will explain the Venn-diagram
- A rectangle represent the total of the families
- Three intersected circles:
C represented the cat
D represented the dog
P represented the parakeet
- The common part of the three circle had 4 families
- The common part between the circle of the cat and the circle of the
dog only had 22 - 4 = 18 families
- The common part between the circle of the dog and the circle of the
parakeet only had a families
- The common part between the circle of the cat and the circle of the
parakeet only had b families
- The non-intersected part of the circle of the dog had 67 - 22 - a =
45 - a families
had dogs only
- The non-intersected part of the circle of the cat had 52 - 22 - b =
30 - b families
had cats only
- The non-intersected part of the circle of the parakeet had c families
had parakeets only
- The part out side the circles and inside the triangle has 70 families
- Look to the attached graph for more under stand
∵ The total of the families is 180
∴ The sum of all steps above is 180
∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify
- (-a) will cancel (a) and (-b) will cancel (b)
∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180
∴ 167 + c = 180 ⇒ subtract 167 from both sides
∴ c = 180 - 167 = 13 families
* There are 13 families had a parakeet only
