Answer:
a= 6 7/8
Step-by-step explanation:
Hello!
The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.
To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.

Therefore, our slope is 2.
Now we plug these values into our equation.
y=2x+4
I hope this helps!
Answer:
Step-by-step explanation:
<u>Consider the parent function:</u>
The graph of the function open up and the vertex is at the origin, the point (0, 0)
Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:
The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:
<u>Since all the options have 1/20 as a coefficient, our function is:</u>
This is option B
Answer:
(d.) Those who score high on one variable tend to score low on the other.
Step-by-step explanation:
A negative value of correlation coefficient (r) shows a relationship between two variables such that as one variable increases, the other decreases. It shows the inverse relationship between two variables with the dependence determined by the value of the correlation coefficient (r).
It can be observed that for graphs with negative slope, the correlation coefficient (r) is similarly negative. This speaks about its relationship too.
The correlation coefficient being negative doesn't mean the relationship between the two variables in question is bad, it just means that the correlation relationship is inverse (still dependent). A perfectly negative correlation is -1.