Answer:
y=-3x+2
y = x - 5
Step-by-step explanation:
<u>Question 1</u>
It is given that;
- one of the lines has an equation of; y = -3x-7
- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are parallel
When two lines are parallel, their slope is the same, hence the equations of the given line would look like this;
y = -3x + 2
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
<u>Questions 2</u>
It is given that;
- one of the lines has an equation of y = -5x + 1
- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)
- these two lines are perpendicular
When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;
y = x - 5
In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).
Answer:
Combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation
Step-by-step explanation:
The first thing to keep in mind is the difference between combination and permutation.
The main difference is that in the combinations the order does not matter, whereas in the permutations the order does matter.
Combination example:
Choose 7 people for a project.
Example of permutation:
Choose 5 men for each specific role in a soccer team.
Therefore, "group of 5 senators is chosen to be part of a special committee" is a combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation.