73.5/5 because the middle number of four and three is 3.5 <span />
Using the given information, the midpoint of CD is (2.5, 4.5)
<h3>Midpoint of a line </h3>
From the question, we are to determine the midpoint of line CD
The midpoint of a line is given by the formula,
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)
∴ x₁ = 4
x₂ = 1
y₁ = 5
y₂ = 4
Putting the parameters into the formula for midpoint, we get
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
[(4 + 1)/2 , (5 + 4)/2]
(5/2 , 9/2)
(2.5, 4.5)
Hence, the midpoint of CD is (2.5, 4.5)
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Answer: Slope= 0.833/2.000= 0.417
Step-by-step explanation:
Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2
)
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Answer:
in steps
Step-by-step explanation:
12 - 6 x 2 + 3 = 3
(12 - 6 ÷ 2) x 3 = 27 .... ??
12 ÷ 6 + 2 x 3 = 8
12 ÷ 6 + 2 + 3 = 7
12 + 6 ÷ 2 + 3 = 18