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The equation of the line in the point-slope form is y - 15 = (x - 10)
Step-by-step explanation:
The point-slope form of a linear equation is , where
- m is the slope of the line, where
,
and
are two points on the line
∵ Point A = (10 , 15)
∵ The x-coordinate of the second point is 125% of x-coordinate
of point A
∴ x-coordinate of second point = × 10
∴ x-coordinate of second point = 12.5
∵ The y-coordinate of the second point is 75% of y-coordinate
of point A
∴ y-coordinate of second point = × 15
∴ y-coordinate of second point = 11.25
∴ The coordinates of the second point are (12.5 , 11.25)
Let us find the slope of the line by using the rule of it above
∵ = (10 , 15)
∵ = (12.5 , 11.25)
∴
Now we can write the equation
∵ The point-slope form is
∵
∵ = (10 , 15)
- Substitute these values in the form of the equation
∴ y - 15 = (x - 10)
The equation of the line in the point-slope form is y - 15 = (x - 10)
Learn more:
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Answer:
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Step-by-step explanation:
Given:
Let,
point S( x₁ , y₁) ≡ ( -1 , 1)
point T( x₂ , y₂) ≡ (3 , -5)
Point M( x , y ) is the Mid point of segment ST.
To Find:
Point M( x , y )= ?
Solution:
As Point M( x , y ) is the Mid point of segment ST.
So we have Mid Point Formula as
On substituting the given values in above equation we get
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.