You are correct about the y-intercept. In case you are unsure about the slope, you can check using y1 - y2 / x1 - x2:
(0, -1) and (1, 2)
-1 - 2 / 0 - 1
-3 / -1
3
The slope is 3; you chose the correct answer, great job.
Hey there!
y = -1/4x + 10
Looking for the amount of hours of sleep for an 8 year old, so x is 8.
Solve for y:
y = -1/4(8) + 10
y = -2 + 10
y = 8
The predicted number of average hours of sleep for an 8 year old is 3. 8 hours.
Hope this helps!
<h2>
Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have

, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers : 
Test statistic : 

P-value :
[ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.
Refer to the diagram shown below.
In the diagram, the two vertices are located at (0, a) and (0, -a).
The equation for the parabola is

The asymptotes have the equations

For the given problem,
The vertices are located at (0, +/-10).
Therefore a = 10.
The asymptotes are

Therefore

Answer:
The equation of the parabola is