1) Are the following lines parallel, perpendicular, or neither?
1 answer:
In 1)
Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)
Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)
Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)
If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.
So,
Option D will be correct.
Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)
Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)
Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)
If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.
So,
Option D will be correct.
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I am assuming the equation is as follows
Since the constant 10 is -10 this tells us we are going to have different signs + - after you have factored the equation.
First thing first. Think of two numbers that will give you the product(The answer after two numbers are multiplied) of -10 and the sum(Two numbers added together) of +3. I get the 3 from the 3x.
We know 5 x -2 = -10 and the sum 5 + -2 = +3
With that said, we found our two factors
(x + 5)(x - 2)
Now write them as zeros and solve for x
x + 5 = 0
x = -5
x - 2 = 0
x = 2
So the zeros are -5 and 2.
Since the constant 10 is -10 this tells us we are going to have different signs + - after you have factored the equation.
First thing first. Think of two numbers that will give you the product(The answer after two numbers are multiplied) of -10 and the sum(Two numbers added together) of +3. I get the 3 from the 3x.
We know 5 x -2 = -10 and the sum 5 + -2 = +3
With that said, we found our two factors
(x + 5)(x - 2)
Now write them as zeros and solve for x
x + 5 = 0
x = -5
x - 2 = 0
x = 2
So the zeros are -5 and 2.
Answer:
Slope of (0,2) and (-8,-8): 5/4
Slope of (-8,-5) and (8,15): 5/4
Both slopes are 5/4
m = 5/4
Step-by-step explanation:
To find the slope:
1. Use the formula .
2. Assign point 1 and point 2
3. State (x₁ , y₁) and (x₂, y₂)
4. Substitute x₁ , y₁, x₂, and y₂ into the formula
5. Solve
Slope of (0,2) and (-8,-8):
Point 1: (0,2) x₁ = 0 y₁ = 2
Point 2: (-8,-8) x₂ = -8 y₂ = -8
Formula for slope
Substituted points
Simplified the subtraction then the negatives
Reduce fraction by dividing top and bottom by 2
First slope
Slope of (-8,-5) and (8,15):
Point 1: (-8,-5) x₁ = -8 y₁ = -5
Point 2: (8,15) x₂ = 8 y₂ = 15
Formula for slope
Substituted points
Simplified the subtraction into addition
Reduce fraction (divide top and bottom by 4)
Second slope