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.
i think the answer is A
Step-by-step explanation:
i just think it's a
Answer:
y = 3/2x + 6
y = -1/4x + 5/2
y = -x + 1
Step-by-step explanation:
I used the point (-2, 3) with a variety of slopes (3/2, -1/4, -1) and plugged the point and slope into y=mx+b to get 'b' (the y-intercept).
Answer:
D, A, E, C, B or 2, 5, 4, 1, 3
Step-by-step explanation:
In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.
1. Matches the equation you're solving. This equation is Given.
2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.
3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.
4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.
5. Both sides have been divided by 18. The Division Property of Order says you can do that.
