Tricia recorded the number of pets owned by each of her classmates. These data points represent the results of her survey. 0, 3,
2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3 Create a dot plot that represents the data.
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>
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