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2 answers:
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The slope and intercept form is the form of the straight line equation that includes the value of the slope of the line
- Neither
- ║
- Neither
- ⊥
- ║
- Neither
- Neither
- Neither
Reason:
The slope and intercept form is the form y = m·x + c
Where;
m = The slope
Two equations are parallel if their slopes are equal
Two equations are perpendicular if the relationship between their slopes, m₁, and m₂ are;
1. The given equations are in the slope and intercept form
The slope, m₁ = 3
The slope, m₂ =
Therefore, the equations are <u>neither</u> parallel or perpendicular
- Neither
2. y = 5·x - 3
10·x - 2·y = 7
The second equation can be rewritten in the slope and intercept form as follows;
Therefore, the two equations are <u>parallel</u>
- ║
3. The given equations are;
-2·x - 4·y = -8
-2·x + 4·y = -8
The given equations in slope and intercept form are;
Slope, m₁ =
Slope, m₂ =
The slopes
Therefore, m₁ ≠ m₂
The lines are <u>Neither</u> parallel nor perpendicular
- <u>Neither</u>
4. The given equations are;
2·y - x = 2
m₁ =
y = -2·x + 4
m₂ = -2
Therefore;
Therefore, the lines are <u>perpendicular</u>
- ⊥
5. The given equations are;
4·y = 3·x + 12
-3·x + 4·y = 2
Which gives;
First equation,
Second equation,
Therefore, m₁ = m₂, the lines are <u>parallel</u>
- ║
6. The given equations are;
8·x - 4·y = 16
Which gives; y = 2·x - 4
5·y - 10 = 3, therefore, y =
Therefore, the two equations are <u>neither</u> parallel nor perpendicular
- <u>Neither</u>
7. The equations are;
2·x + 6·y = -3
Which gives
12·y = 4·x + 20
Which gives
m₁ ≠ m₂
- <u>Neither</u>
8. 2·x - 5·y = -3
Which gives;
5·x + 27 = 6
- Therefore, the slopes are not equal, or perpendicular, the correct option is <u>Neither</u>
Learn more here:
Based on the positions of angles AFC and EFC, the relationship between them is a Complimentary angle.
<h3>How are AFC and EFC related?</h3>
Angles AFC and EFC are complimentary angles because complimentary angles are angles that add up to 90 degrees.
Looking at the shape, Line FC divides the right angle to create angles AFC and EFC so when these are added together, they equal 90 degrees.
In conclusion, angles AFC and EFC are complimentary.
Find out more on complimentary angles at brainly.com/question/20728641.
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