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:
A tranlation and a rotaion.
Step-by-step explanation:
In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.
Answer:
BiG ChUnGuS moo
Step-by-step explanation:
2x+4.7=77.8
double the unknown number then add 4.7
F(x) = x + 1
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b
g(x) = cx - d
flip values of x and y in each equation, then solve for y:
x = y + a
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b
y = a - bx
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x = cy - d
y = x + d
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c