Answer:
D. negative
Step-by-step explanation:
Let's analyze each answer choice.
A. Zero
A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.
B. Undefined
A line with an undefined slope is a vertical line. The x values don't change and the y values vary.
C. Positive
When a line has a positive slope, the line increases from left to right.
D. Negative
When a line has a negative slope, the line decreases from left to right.
When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.
Answer: 3/2
Step-by-step explanation:
Since, two variables are called proportional if there is always a constant ratio between them.
And, The constant is called the coefficient of proportionality or proportionality constant.
Let x and y are proportional to each other.
Therefore, x ∝ y ⇒ y=kx
Where k is any constant.
For, x=2 and y=3 k= 3/2
For, x=4 and y=6, k=3/2
For x=6 and y=9, k= 3/2
Since, here the value of k is constant.
Therefore, k is the coefficient of proportionality.
And, given table is propositional.
Answer: y=2/3x+1
Step-by-step explanation:
y=2/3x-6
y=2/3x+b ==> Parallel to y=2/3x-6 since they both have the same slope
3=2/3 (3)+b
3=2*3/3 +b
3=6/3 +b
3=2+b
b=1
y=2/3x+1
The best way to answer this is to find counterarguments for each answer to eliminate them as a possibility. ab doesn't have to be an integer, 2.5*3=7.5 . That's also not an imaginary number so that's out. And that's also not an irrational number so that's out too. Only choice left is rational number.