Please help find ordered pairs for #14
1 answer:
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Answer:
The equation of the line in standard form is:
Step-by-step explanation:
Given the points
- (10,2)
- (14,-22)
Determining the slope between (10, 2) and (14, -22)
The point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation
adding 2 to both sides
We can write the equation in the standard form such as
Ax + By = C
Thus,
adding -6x to both sides
Therefore, the equation of the line in standard form is:
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵ , where
and are any two ordered pairs in the table
∵ = (1 , 20)
∵ = (3 , 10)
∴
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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Subtract 180 - 34 = 146
You know ∠BPD adds up to 146°
Since bisects ∠BPD, you know that ∠BPC and ∠CPD are equal to each other.
Divide 146 by 2 = 73
m∠CPD = 73°